Question 1

Multiply and leave your answer in exponent form.
-$\left( 9 ^ { 10 } \right) \left( 9 ^ { 20 } \right)$

Accepted Answer

A)  $81 ^ { 30 }$ 
B)  $9 ^ { 10 }$ 
C)  9200 
D)  930 
A)  $81 ^ { 30 }$ 
B)  $9 ^ { 10 }$ 
C)  9200 
D)  930

Question 2

Solve the problem.
-$2 a b ^ { 5 } \left( - 2 a b ^ { 7 } + 3 b ^ { 5 } - 4 a \right)$

Accepted Answer

A)  $- 4 a b ^ { 7 } + 6 b ^ { 5 } - 8 a$ 
B)  $- 4 a ^ { 2 } b ^ { 12 } + 6 a b ^ { 10 }$ 
C)  $- 4 a ^ { 2 } b ^ { 12 } + 3 b ^ { 5 } - 4 a$ 
D)  $- 4 a ^ { 2 } b ^ { 12 } + 6 a b ^ { 10 } - 8 a ^ { 2 } b ^ { 5 }$ 
A)  $- 4 a b ^ { 7 } + 6 b ^ { 5 } - 8 a$ 
B)  $- 4 a ^ { 2 } b ^ { 12 } + 6 a b ^ { 10 }$ 
C)  $- 4 a ^ { 2 } b ^ { 12 } + 3 b ^ { 5 } - 4 a$ 
D)  $- 4 a ^ { 2 } b ^ { 12 } + 6 a b ^ { 10 } - 8 a ^ { 2 } b ^ { 5 }$

Question 3

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
-$\frac { 1 } { y ^ { - 5 } }$

Accepted Answer

A)  $- y ^ { 5 }$ 
B)  $y ^ { 1 / 5 }$ 
C)  $y ^ { 5 }$ 
D)  $- \mathrm { y } ^ { 1 / 5 }$ 
A)  $- y ^ { 5 }$ 
B)  $y ^ { 1 / 5 }$ 
C)  $y ^ { 5 }$ 
D)  $- \mathrm { y } ^ { 1 / 5 }$

Question 4

Solve.
-The sun radiates energy into space at the rate of $3.9 \times 10 ^ { 26 }$ joules per second. How many joules are emitted in three weeks?

Accepted Answer

A)  $7.07616 \times 10 ^ { 26 }$ joules 
B)  $7.07616 \times 10 ^ { 32 }$ joules 
C)  $7.07616 \times 10 ^ { 53 }$ joules 
D)  $7.07616 \times 10 ^ { 59 }$ joules 
A)  $7.07616 \times 10 ^ { 26 }$ joules 
B)  $7.07616 \times 10 ^ { 32 }$ joules 
C)  $7.07616 \times 10 ^ { 53 }$ joules 
D)  $7.07616 \times 10 ^ { 59 }$ joules

Question 5

Solve the problem.
-$$( 8 m + 3 ) ^ { 2 }$$

Accepted Answer

A)  $8 m ^ { 2 } + 48 m + 9$ 
B)  $64 m ^ { 2 } + 9$ 
C)  $8 m ^ { 2 } + 9$ 
D)  $64 m ^ { 2 } + 48 m + 9$ 
A)  $8 m ^ { 2 } + 48 m + 9$ 
B)  $64 m ^ { 2 } + 9$ 
C)  $8 m ^ { 2 } + 9$ 
D)  $64 m ^ { 2 } + 48 m + 9$

Question 6

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
-$\frac { x ^ { 2 } } { x ^ { - 9 } }$

Accepted Answer

A)  $\frac { 1 } { x ^ { 11 } }$ 
B)  $x ^ { 18 }$ 
C)  $x^{ 11}$ 
D)  $\frac { 1 } { x ^ { 18 } }$ 
A)  $\frac { 1 } { x ^ { 11 } }$ 
B)  $x ^ { 18 }$ 
C)  $x^{ 11}$ 
D)  $\frac { 1 } { x ^ { 18 } }$

Question 7

Perform the indicated operations.
-$$\left( 11 x ^ { 8 } + 3 x ^ { 7 } - 13 x ^ { 2 } + 4 \right) - \left( 5 x ^ { 8 } - 9 x ^ { 5 } + 5 x ^ { 2 } - 4 \right)$$

Accepted Answer

A)  $6 x ^ { 8 } + 3 x ^ { 7 } + 9 x ^ { 5 } - 18 x ^ { 2 } + 8$ 
B)  $6 x ^ { 8 } + 3 x ^ { 7 } - 9 x ^ { 5 } - 18 x ^ { 2 } + 8$ 
C)  $- 6 x ^ { 8 } + 3 x ^ { 7 } - 9 x ^ { 5 } - 18 x ^ { 2 } + 8$ 
D)  $- 6 x ^ { 8 } + 3 x ^ { 7 } + 9 x ^ { 5 } - 18 x ^ { 2 } + 8$ 
A)  $6 x ^ { 8 } + 3 x ^ { 7 } + 9 x ^ { 5 } - 18 x ^ { 2 } + 8$ 
B)  $6 x ^ { 8 } + 3 x ^ { 7 } - 9 x ^ { 5 } - 18 x ^ { 2 } + 8$ 
C)  $- 6 x ^ { 8 } + 3 x ^ { 7 } - 9 x ^ { 5 } - 18 x ^ { 2 } + 8$ 
D)  $- 6 x ^ { 8 } + 3 x ^ { 7 } + 9 x ^ { 5 } - 18 x ^ { 2 } + 8$

Question 8

Perform the indicated operations.
-$$\left( 4 x ^ { 2 } - 2 x + 15 \right) - \left( 6 x ^ { 2 } - 5 x + 12 \right)$$

Accepted Answer

A)  $x ^ { 7 }$ 
B)  $- 2 x ^ { 2 } + 3 x + 27$ 
C)  $- 2 x ^ { 2 } + 3 x + 3$ 
D)  $- 2 x ^ { 2 } + 4 x + 27$ 
A)  $x ^ { 7 }$ 
B)  $- 2 x ^ { 2 } + 3 x + 27$ 
C)  $- 2 x ^ { 2 } + 3 x + 3$ 
D)  $- 2 x ^ { 2 } + 4 x + 27$

Question 9

Solve.
-$- 9 x y ^ { 9 }$

Accepted Answer

A)  monomial, degree is 1 
B)  monomial, degree 9 
C)  binomial, degree 10 
D)  monomial, degree 10 
A)  monomial, degree is 1 
B)  monomial, degree 9 
C)  binomial, degree 10 
D)  monomial, degree 10

Question 10

Solve the problem.
-$$11 x ^ { 7 } \left( 10 x ^ { 5 } + 2 \right)$$

Accepted Answer

A)  $\quad x ^ { 12 } + 2$ 
B)  $x ^ { 7 }$ 
C)  $x ^ { 5} + 22$ 
D)  $x ^ { 12 } + 22 x ^ { 7 }$ 
A)  $\quad x ^ { 12 } + 2$ 
B)  $x ^ { 7 }$ 
C)  $x ^ { 5} + 22$ 
D)  $x ^ { 12 } + 22 x ^ { 7 }$

Question 11

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
-$( 5 a ) ^ { 3 }$

Accepted Answer

A)  $125 a ^ { 3 }$ 
B)  $15 a ^ { 3 }$ 
C)  $15 a$ 
D)  $125 a$ 
A)  $125 a ^ { 3 }$ 
B)  $15 a ^ { 3 }$ 
C)  $15 a$ 
D)  $125 a$

Question 12

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
-$\left( 5 x ^ { 5 } y ^ { 8 } \right) ^ { 2 }$

Accepted Answer

A)  $10 x ^ { 5 } y ^ { 8 }$ 
B)  $5 \mathrm { x } ^{10} \mathrm { y } ^{ 16}$ 
C)  $25 \mathrm { x }^{ 10} , \mathrm { y }^{16}$ 
D)  $5 \mathrm { x } ^ { 7 } \mathrm { y } ^ { 10 }$ 
A)  $10 x ^ { 5 } y ^ { 8 }$ 
B)  $5 \mathrm { x } ^{10} \mathrm { y } ^{ 16}$ 
C)  $25 \mathrm { x }^{ 10} , \mathrm { y }^{16}$ 
D)  $5 \mathrm { x } ^ { 7 } \mathrm { y } ^ { 10 }$

Question 13

Perform the indicated operations.
-$$\left( 1.8 x ^ { 3 } + 7.9 x ^ { 2 } + 4.1 \right) + ( 6.3 x - 2.9 ) - \left( 3.6 x ^ { 2 } - x - 9.9 \right)$$

Accepted Answer

A)  $1.8 x ^ { 3 } + 11.5 x ^ { 2 } + 5.3 x - 8.7$ 
B)  $13.4 x ^ { 6 } + 11.1$ 
C)  $1.8 x ^ { 3 } + 4.3 x ^ { 2 } + 7.3 x + 11.1$ 
D)  $1.8 x ^ { 3 } + 4.3 x ^ { 2 } + 6.3 x + 11.1$ 
A)  $1.8 x ^ { 3 } + 11.5 x ^ { 2 } + 5.3 x - 8.7$ 
B)  $13.4 x ^ { 6 } + 11.1$ 
C)  $1.8 x ^ { 3 } + 4.3 x ^ { 2 } + 7.3 x + 11.1$ 
D)  $1.8 x ^ { 3 } + 4.3 x ^ { 2 } + 6.3 x + 11.1$

Question 14

Solve
-The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the polynomial equation 0.4x + 11,000. Find the cost of producing 80,000 jars.

Accepted Answer

A) $80,011 
B) $32,000 
C) $43,000 
D) $11.40 
A) $80,011 
B) $32,000 
C) $43,000 
D) $11.40

Question 15

Solve.
-$$- 9 x }$$

Accepted Answer

A)  binomial, degree 0 
B)  monomial, degree $- 9$ 
C)  monomial, degree 1 
D)  monomial, degree 0 
A)  binomial, degree 0 
B)  monomial, degree $- 9$ 
C)  monomial, degree 1 
D)  monomial, degree 0

Question 16

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
-$\frac { x ^ { 2 } y ^ { - 8 } } { z ^ { - 5 } }$

Accepted Answer

A)  $\frac { y ^ { 8 } } { x ^ { 2 } z ^ { 5 } }$ 
B)  $\frac { x ^ { 2 } z ^ { 5 } } { y ^ { 8 } }$ 
C)  $\frac { z ^ { 5 } } { x ^ { 2 } y ^ { 8 } }$ 
D)  $\frac { x ^ { 2 } z ^ { 8 } } { y ^ { 5 } }$ 
A)  $\frac { y ^ { 8 } } { x ^ { 2 } z ^ { 5 } }$ 
B)  $\frac { x ^ { 2 } z ^ { 5 } } { y ^ { 8 } }$ 
C)  $\frac { z ^ { 5 } } { x ^ { 2 } y ^ { 8 } }$ 
D)  $\frac { x ^ { 2 } z ^ { 8 } } { y ^ { 5 } }$

Question 17

Write in scientific notation.
-264.54

Accepted Answer

A)  $2.6454 \times 10 ^ { - 2 }$ 
B)  $2.6454 \times 10^{1}$ 
C)  $2.6454 \times 10 ^ { 2 }$ 
D)  $2.6454 \times 10 ^ { - 1 }$ 
A)  $2.6454 \times 10 ^ { - 2 }$ 
B)  $2.6454 \times 10^{1}$ 
C)  $2.6454 \times 10 ^ { 2 }$ 
D)  $2.6454 \times 10 ^ { - 1 }$

Question 18

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
-$$\left( - 4 x ^ { - 3 } \right) \left( 9 x ^ { - 5 } \right)$$

Accepted Answer

A)  $x ^ { 15 }$ 
B)  $- 36 x ^ { 8 }$ 
C)  $- 36 x ^{15}$ 
D)  $\frac { - 36 } { x ^ { 8 } }$ 
A)  $x ^ { 15 }$ 
B)  $- 36 x ^ { 8 }$ 
C)  $- 36 x ^{15}$ 
D)  $\frac { - 36 } { x ^ { 8 } }$

Question 19

Solve
-The total revenues (in dollars)for a hot dog vendor selling x hot dogs is given by the polynomial 2.75x. Find the total revenue in selling 80 hot dogs.

Accepted Answer

A) $22.00 
B) $2200.00 
C) $220.00 
D) $1760.00 
A) $22.00 
B) $2200.00 
C) $220.00 
D) $1760.00

Question 20

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
-$\left( \frac { x y ^ { 3 } } { z ^ { 4 } } \right) ^ { 7 }$

Accepted Answer

A)  $\frac { x ^ { 7 } y ^ { 10 } } { z ^ { 11 } }$ 
B)  $\frac { x ^ { 7 } y ^ { 21 } } { z ^ { 28 } }$ 
C)  $\frac { x y ^ { 10 } } { z ^ { 11 } }$ 
D)  $\frac { x y ^ { 21 } } { z ^ { 28 } }$ 
A)  $\frac { x ^ { 7 } y ^ { 10 } } { z ^ { 11 } }$ 
B)  $\frac { x ^ { 7 } y ^ { 21 } } { z ^ { 28 } }$ 
C)  $\frac { x y ^ { 10 } } { z ^ { 11 } }$ 
D)  $\frac { x y ^ { 21 } } { z ^ { 28 } }$

Multiply and leave your answer in exponent form. - $\left( 9 ^ { 10 } \right) \left( 9 ^ { 20 } \right)$

Solve the problem. - $2 a b ^ { 5 } \left( - 2 a b ^ { 7 } + 3 b ^ { 5 } - 4 a \right)$

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero. - $\frac { 1 } { y ^ { - 5 } }$

Solve. -The sun radiates energy into space at the rate of $3.9 \times 10 ^ { 26 }$ joules per second. How many joules are emitted in three weeks?

Solve the problem. - $( 8 m + 3 ) ^ { 2 }$

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero. - $\frac { x ^ { 2 } } { x ^ { - 9 } }$

Perform the indicated operations. - $\left( 11 x ^ { 8 } + 3 x ^ { 7 } - 13 x ^ { 2 } + 4 \right) - \left( 5 x ^ { 8 } - 9 x ^ { 5 } + 5 x ^ { 2 } - 4 \right)$

Perform the indicated operations. - $\left( 4 x ^ { 2 } - 2 x + 15 \right) - \left( 6 x ^ { 2 } - 5 x + 12 \right)$

Solve. - $- 9 x y ^ { 9 }$

Solve the problem. - $11 x ^ { 7 } \left( 10 x ^ { 5 } + 2 \right)$

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $( 5 a ) ^ { 3 }$

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\left( 5 x ^ { 5 } y ^ { 8 } \right) ^ { 2 }$

Perform the indicated operations. - $\left( 1.8 x ^ { 3 } + 7.9 x ^ { 2 } + 4.1 \right) + ( 6.3 x - 2.9 ) - \left( 3.6 x ^ { 2 } - x - 9.9 \right)$

Solve -The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the polynomial equation 0.4x + 11,000. Find the cost of producing 80,000 jars.

Solve. - $- 9 x }$

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero. - $\frac { x ^ { 2 } y ^ { - 8 } } { z ^ { - 5 } }$

Write in scientific notation. -264.54

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero. - $\left( - 4 x ^ { - 3 } \right) \left( 9 x ^ { - 5 } \right)$

Solve -The total revenues (in dollars)for a hot dog vendor selling x hot dogs is given by the polynomial 2.75x. Find the total revenue in selling 80 hot dogs.

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\left( \frac { x y ^ { 3 } } { z ^ { 4 } } \right) ^ { 7 }$

Real Numbers and Variables

Equations, Inequalities, and Applications

Graphing and Functions

Systems of Linear Equations and Inequalities

Factoring

Rational Expressions and Equations

Rational Exponents and Radicals

Quadratic Equations and Inequalities

The Conic Sections

Additional Properties of Functions

Logarithmic and Exponential Functions

Filters

Exam 5: Exponents and Polynomials

Multiply and leave your answer in exponent form. - (910)(920)\left( 9 ^ { 10 } \right) \left( 9 ^ { 20 } \right)(910)(920)

Solve the problem. - 2ab5(−2ab7+3b5−4a)2 a b ^ { 5 } \left( - 2 a b ^ { 7 } + 3 b ^ { 5 } - 4 a \right)2ab5(−2ab7+3b5−4a)

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero. - 1y−5\frac { 1 } { y ^ { - 5 } }y−51​

Solve. -The sun radiates energy into space at the rate of 3.9×10263.9 \times 10 ^ { 26 }3.9×1026 joules per second. How many joules are emitted in three weeks?

Solve the problem. - (8m+3)2( 8 m + 3 ) ^ { 2 }(8m+3)2

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero. - x2x−9\frac { x ^ { 2 } } { x ^ { - 9 } }x−9x2​

Perform the indicated operations. - (11x8+3x7−13x2+4)−(5x8−9x5+5x2−4)\left( 11 x ^ { 8 } + 3 x ^ { 7 } - 13 x ^ { 2 } + 4 \right) - \left( 5 x ^ { 8 } - 9 x ^ { 5 } + 5 x ^ { 2 } - 4 \right)(11x8+3x7−13x2+4)−(5x8−9x5+5x2−4)

Perform the indicated operations. - (4x2−2x+15)−(6x2−5x+12)\left( 4 x ^ { 2 } - 2 x + 15 \right) - \left( 6 x ^ { 2 } - 5 x + 12 \right)(4x2−2x+15)−(6x2−5x+12)

Solve. - −9xy9- 9 x y ^ { 9 }−9xy9

Solve the problem. - 11x7(10x5+2)11 x ^ { 7 } \left( 10 x ^ { 5 } + 2 \right)11x7(10x5+2)

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - (5a)3( 5 a ) ^ { 3 }(5a)3

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - (5x5y8)2\left( 5 x ^ { 5 } y ^ { 8 } \right) ^ { 2 }(5x5y8)2

Perform the indicated operations. - (1.8x3+7.9x2+4.1)+(6.3x−2.9)−(3.6x2−x−9.9)\left( 1.8 x ^ { 3 } + 7.9 x ^ { 2 } + 4.1 \right) + ( 6.3 x - 2.9 ) - \left( 3.6 x ^ { 2 } - x - 9.9 \right)(1.8x3+7.9x2+4.1)+(6.3x−2.9)−(3.6x2−x−9.9)