Question 1

Divide and simplify.
-$\frac { ( 29 x ) ^ { 5 } } { ( 29 x ) ^ { 6 } }$

Accepted Answer

A)  $\frac { 1 } { 29 x ^ { 5 } }$ 
B)  $29 x$ 
C)  $\frac { 1 } { x ^ { 5 } }$ 
D)  $\frac { 1 } { 29 x }$ 
A)  $\frac { 1 } { 29 x ^ { 5 } }$ 
B)  $29 x$ 
C)  $\frac { 1 } { x ^ { 5 } }$ 
D)  $\frac { 1 } { 29 x }$

Question 2

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-If the speed of light is $3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { sec }$, how long does it take light to travel $2.29 \times 1011 \mathrm {~m}$, the distance from the sun to Mars?

Accepted Answer

A)  $7.6 \times 10 ^ { 3 } \mathrm { sec }$ 
B)  $7.6 \times 10 ^ { 2 } \mathrm { sec }$ 
C)  $7.6 \times 10 ^ { 2 } \mathrm {~min}$ 
D)  $76 \mathrm { sec }$ 
A)  $7.6 \times 10 ^ { 3 } \mathrm { sec }$ 
B)  $7.6 \times 10 ^ { 2 } \mathrm { sec }$ 
C)  $7.6 \times 10 ^ { 2 } \mathrm {~min}$ 
D)  $76 \mathrm { sec }$

Question 3

Evaluate.
-$14 ^ { 0 }$

Accepted Answer

A)  $- 1$ 
B)  0 
C)  14 
D)  1 
A)  $- 1$ 
B)  0 
C)  14 
D)  1

Question 4

Evaluate the polynomial.
-$2 x ^ { 2 } - 5 x - 5$, when $x = - 2$

Accepted Answer

A)  1 
B)  13 
C)  9 
D)  3 
A)  1 
B)  13 
C)  9 
D)  3

Question 5

Write the number in scientific notation.
-377.9

Accepted Answer

A)  $3.779 \times 10 ^ { - 3 }$ 
B)  $3.779 \times 10 ^ { 2 }$ 
C)  $3.779 \times 10 ^ { - 2 }$ 
D)  $3.779 \times 10 ^ { 3 }$ 
A)  $3.779 \times 10 ^ { - 3 }$ 
B)  $3.779 \times 10 ^ { 2 }$ 
C)  $3.779 \times 10 ^ { - 2 }$ 
D)  $3.779 \times 10 ^ { 3 }$

Question 6

Simplify.
-$$- 3 \left( x ^ { 3 } y \right) ^ { - 5 }$$

Accepted Answer

A)  $- 15 x ^ { 3 } y ^ { 5 }$ 
B)  $\frac { 1 } { ( - 3 ) 5 x 15,5 }$ 
C)  $\frac { - 3 } { x15 \sqrt { 5 } }$ 
D)  $- 3 x 15 y ^ { 5 }$ 
A)  $- 15 x ^ { 3 } y ^ { 5 }$ 
B)  $\frac { 1 } { ( - 3 ) 5 x 15,5 }$ 
C)  $\frac { - 3 } { x15 \sqrt { 5 } }$ 
D)  $- 3 x 15 y ^ { 5 }$

Question 7

Evaluate.
-$m ^ { 2 }$ when $m = 3$

Accepted Answer

A)  5 
B)  6 
C)  9 
D)  3 
A)  5 
B)  6 
C)  9 
D)  3

Question 8

Identify the degree of each term and the degree of the polynomial.
-$7 x ^ { 2 } - 9 x + 7$

Accepted Answer

A)  $2,1,0 ; 2$ 
B)  $2,0,0 ; 2$ 
C)  $2,1,0 ; 7$ 
D)  $7 , - 9,7 ; 7$ 
A)  $2,1,0 ; 2$ 
B)  $2,0,0 ; 2$ 
C)  $2,1,0 ; 7$ 
D)  $7 , - 9,7 ; 7$

Question 9

Simplify.
-$\left( - 4 x ^ { 3 } y \right) ^ { 2 }$

Accepted Answer

A)  $( - 4 ) ^ { 2 } x ^ { 6 } y ^ { 2 }$ 
B)  $- 8 x ^ { 3 } y ^ { 2 }$ 
C)  $- 8 x ^ { 3 } y$ 
D)  $( - 4 ) ^ { 2 } x ^ { 5 } y ^ { 2 }$ 
A)  $( - 4 ) ^ { 2 } x ^ { 6 } y ^ { 2 }$ 
B)  $- 8 x ^ { 3 } y ^ { 2 }$ 
C)  $- 8 x ^ { 3 } y$ 
D)  $( - 4 ) ^ { 2 } x ^ { 5 } y ^ { 2 }$

Question 10

Convert to decimal notation.
-$$6.06 \times 10 ^ { 3 }$$

Accepted Answer

A)  606 
B)  6060 
C)  60,600 
D)  $181.8$ 
A)  606 
B)  6060 
C)  60,600 
D)  $181.8$

Question 11

Simplify.
-$\left( \frac { x ^ { 7 } } { 5 } \right) ^ { 5 }$

Accepted Answer

A)  $\frac { x ^ { 2 } } { 3125 }$ 
B)  $\frac { x ^ { 35 } } { 3125 }$ 
C)  $\frac { a ^ { 35 } } { 5 }$ 
D)  $\frac { x ^ { 12 } } { 3125 }$ 
A)  $\frac { x ^ { 2 } } { 3125 }$ 
B)  $\frac { x ^ { 35 } } { 3125 }$ 
C)  $\frac { a ^ { 35 } } { 5 }$ 
D)  $\frac { x ^ { 12 } } { 3125 }$

Question 12

Multiply and simplify.
-$a ^ { - 9 } \cdot a ^ { 9 }$

Accepted Answer

A)  0 
B)  $\frac { 1 } { a ^ { 9 } }$ 
C)  1 
D)  $- 1$ 
A)  0 
B)  $\frac { 1 } { a ^ { 9 } }$ 
C)  1 
D)  $- 1$

Question 13

Identify the terms in the polynomial.
-$$3 x ^ { 4 } - 4 x ^ { 2 } - 3 x - 4$$

Accepted Answer

A)  $3 x ^ { 4 } , 4 x ^ { 2 } , 3 x , 4$ 
B)  $3 x ^ { 4 } , - 4 x ^ { 2 } , - 3 x , - 4$ 
C)  $3 , x ^ { 4 } , - 4 , x ^ { 2 } , - 3 , x , - 4$ 
D)  $3 , x ^ { 4 } , 4 , x ^ { 2 } , 3 , x , 4$ 
A)  $3 x ^ { 4 } , 4 x ^ { 2 } , 3 x , 4$ 
B)  $3 x ^ { 4 } , - 4 x ^ { 2 } , - 3 x , - 4$ 
C)  $3 , x ^ { 4 } , - 4 , x ^ { 2 } , - 3 , x , - 4$ 
D)  $3 , x ^ { 4 } , 4 , x ^ { 2 } , 3 , x , 4$

Question 14

Convert to decimal notation.
-$10 ^ { 8 }$

Accepted Answer

A)  $10,000,000,000$ 
B)  $100,000,000$ 
C)  $1,000,000,000$ 
D)  $10,000,000$ 
A)  $10,000,000,000$ 
B)  $100,000,000$ 
C)  $1,000,000,000$ 
D)  $10,000,000$

Question 15

Simplify.
-$\left( 8 ^ { 5 } \right) ^ { - 6 }$

Accepted Answer

A)  $- 6 \cdot 8 ^ { 5 }$ 
B)  $\frac { 1 } { 8 ^ { 30 } }$ 
C)  $8 ^ { 30 }$ 
D)  $8 ^ { - 1 }$ 
A)  $- 6 \cdot 8 ^ { 5 }$ 
B)  $\frac { 1 } { 8 ^ { 30 } }$ 
C)  $8 ^ { 30 }$ 
D)  $8 ^ { - 1 }$

Question 16

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$$5 y ^ { 8 } - 5$$

Accepted Answer

A)  Monomial, degree 5 
B)  Binomial, degree 8 
C)  Binomial, degree 9 
D)  Binomial, degree 0 
A)  Monomial, degree 5 
B)  Binomial, degree 8 
C)  Binomial, degree 9 
D)  Binomial, degree 0

Question 17

Divide and simplify.
-$\frac { t ^ { 4 } } { t ^ { 8 } }$

Accepted Answer

A)  $\frac { t ^ { 4 } } { t ^ { 4 } }$ 
B)  $\frac { 1 } { t ^ { 4 } }$ 
C)  $t ^ { 4 }$ 
D)  $t ^ { - 8 }$ 
A)  $\frac { t ^ { 4 } } { t ^ { 4 } }$ 
B)  $\frac { 1 } { t ^ { 4 } }$ 
C)  $t ^ { 4 }$ 
D)  $t ^ { - 8 }$

Question 18

Divide and simplify.
-$\frac { ( 12 x ) ^ { 13 } } { ( 12 x ) ^ { 13 } }$

Accepted Answer

A)  $x$ 
B)  $\frac { 1 } { x ^ { 13 } }$ 
C)  1 
D)  $x ^ { 13 }$ 
A)  $x$ 
B)  $\frac { 1 } { x ^ { 13 } }$ 
C)  1 
D)  $x ^ { 13 }$

Question 19

Write the number in scientific notation.
-558,406

Accepted Answer

A)  $5.58406 \times 10 ^ { 5 }$ 
B)  $5.58406 \times 101$ 
C)  $5.58406 \times 10 ^ { - 5 }$ 
D)  $5.58406 \times 10 ^ { 6 }$ 
A)  $5.58406 \times 10 ^ { 5 }$ 
B)  $5.58406 \times 101$ 
C)  $5.58406 \times 10 ^ { - 5 }$ 
D)  $5.58406 \times 10 ^ { 6 }$

Question 20

Multiply and simplify.
-$5 ^ { 9 } \cdot 5 ^ { - 2 }$

Accepted Answer

A)  $5 ^ { 2 }$ 
B)  $5 ^ { 5 }$ 
C)  $5 ^ { 9 }$ 
D)  $5 ^ { 7 }$ 
A)  $5 ^ { 2 }$ 
B)  $5 ^ { 5 }$ 
C)  $5 ^ { 9 }$ 
D)  $5 ^ { 7 }$

Divide and simplify. - $\frac { ( 29 x ) ^ { 5 } } { ( 29 x ) ^ { 6 } }$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -If the speed of light is $3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { sec }$ , how long does it take light to travel $2.29 \times 1011 \mathrm {~m}$ , the distance from the sun to Mars?

Evaluate. - $14 ^ { 0 }$

Evaluate the polynomial. - $2 x ^ { 2 } - 5 x - 5$ , when $x = - 2$

Write the number in scientific notation. -377.9

Simplify. - $- 3 \left( x ^ { 3 } y \right) ^ { - 5 }$

Evaluate. - $m ^ { 2 }$ when $m = 3$

Identify the degree of each term and the degree of the polynomial. - $7 x ^ { 2 } - 9 x + 7$

Simplify. - $\left( - 4 x ^ { 3 } y \right) ^ { 2 }$

Convert to decimal notation. - $6.06 \times 10 ^ { 3 }$

Simplify. - $\left( \frac { x ^ { 7 } } { 5 } \right) ^ { 5 }$

Multiply and simplify. - $a ^ { - 9 } \cdot a ^ { 9 }$

Identify the terms in the polynomial. - $3 x ^ { 4 } - 4 x ^ { 2 } - 3 x - 4$

Convert to decimal notation. - $10 ^ { 8 }$

Simplify. - $\left( 8 ^ { 5 } \right) ^ { - 6 }$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $5 y ^ { 8 } - 5$

Divide and simplify. - $\frac { t ^ { 4 } } { t ^ { 8 } }$

Divide and simplify. - $\frac { ( 12 x ) ^ { 13 } } { ( 12 x ) ^ { 13 } }$

Write the number in scientific notation. -558,406

Multiply and simplify. - $5 ^ { 9 } \cdot 5 ^ { - 2 }$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Filters

Exam 4: Polynomials: Operations

Divide and simplify. - (29x)5(29x)6\frac { ( 29 x ) ^ { 5 } } { ( 29 x ) ^ { 6 } }(29x)6(29x)5​

Evaluate. - 14014 ^ { 0 }140

Evaluate the polynomial. - 2x2−5x−52 x ^ { 2 } - 5 x - 52x2−5x−5 , when x=−2x = - 2x=−2

Write the number in scientific notation. -377.9

Simplify. - −3(x3y)−5- 3 \left( x ^ { 3 } y \right) ^ { - 5 }−3(x3y)−5

Evaluate. - m2m ^ { 2 }m2 when m=3m = 3m=3

Identify the degree of each term and the degree of the polynomial. - 7x2−9x+77 x ^ { 2 } - 9 x + 77x2−9x+7

Simplify. - (−4x3y)2\left( - 4 x ^ { 3 } y \right) ^ { 2 }(−4x3y)2

Convert to decimal notation. - 6.06×1036.06 \times 10 ^ { 3 }6.06×103

Simplify. - (x75)5\left( \frac { x ^ { 7 } } { 5 } \right) ^ { 5 }(5x7​)5

Multiply and simplify. - a−9⋅a9a ^ { - 9 } \cdot a ^ { 9 }a−9⋅a9

Identify the terms in the polynomial. - 3x4−4x2−3x−43 x ^ { 4 } - 4 x ^ { 2 } - 3 x - 43x4−4x2−3x−4

Convert to decimal notation. - 10810 ^ { 8 }108

Simplify. - (85)−6\left( 8 ^ { 5 } \right) ^ { - 6 }(85)−6

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - 5y8−55 y ^ { 8 } - 55y8−5

Divide and simplify. - t4t8\frac { t ^ { 4 } } { t ^ { 8 } }t8t4​

Divide and simplify. - (12x)13(12x)13\frac { ( 12 x ) ^ { 13 } } { ( 12 x ) ^ { 13 } }(12x)13(12x)13​