Question 1

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

Accepted Answer

A)  $t$ 
B)  $t ^ { 8 }$ 
C)  $\mathrm { t } ^ { 7 }$ 
D)  $\frac { 1 } { t ^ { 7 } }$ 
A)  $t$ 
B)  $t ^ { 8 }$ 
C)  $\mathrm { t } ^ { 7 }$ 
D)  $\frac { 1 } { t ^ { 7 } }$

Question 2

Evaluate.
-$6.74 ^ { 1 }$

Accepted Answer

A)  0 
B)  $6.74$ 
C)  $45.43$ 
D)  1 
A)  0 
B)  $6.74$ 
C)  $45.43$ 
D)  1

Question 3

Divide and simplify.
-$\frac { y ^ { - 13 } } { y ^ { 3 } }$

Accepted Answer

A)  $\frac { 1 } { y ^ { - 10 } }$ 
B)  $y ^ { 16 }$ 
C)  $\mathrm { y } ^ { 10 }$ 
D)  $\frac { 1 } { \mathrm { y } ^ { 16 } }$ 
A)  $\frac { 1 } { y ^ { - 10 } }$ 
B)  $y ^ { 16 }$ 
C)  $\mathrm { y } ^ { 10 }$ 
D)  $\frac { 1 } { \mathrm { y } ^ { 16 } }$

Question 4

Evaluate.
-$y ^ { 1 } - 6$, when $y = - 9$

Accepted Answer

A)  45 
B)  $- 15$ 
C)  75 
D)  $- 6$ 
A)  45 
B)  $- 15$ 
C)  75 
D)  $- 6$

Question 5

Simplify.
-$\left( - 5 p ^ { 3 } q ^ { 3 } r ^ { 3 } \right) ^ { 5 }$

Accepted Answer

A)  $( - 5 ) ^ { 5 } p ^ { 8 } q ^ { 8 } r ^ { 8 }$ 
B)  $- 25 p ^ { 8 } q ^ { 8 } 8$ 
C)  $( - 5 ) ^ { 5 } \mathrm { p } ^ { 15 } \mathrm { q } ^ { 15 } \mathrm { r } 15$ 
D)  $( - 5 ) ^ { 15 } \mathrm { p } ^ { 15 } \mathrm { q } ^ { 15 } \mathrm { r } ^ { 15 }$ 
A)  $( - 5 ) ^ { 5 } p ^ { 8 } q ^ { 8 } r ^ { 8 }$ 
B)  $- 25 p ^ { 8 } q ^ { 8 } 8$ 
C)  $( - 5 ) ^ { 5 } \mathrm { p } ^ { 15 } \mathrm { q } ^ { 15 } \mathrm { r } 15$ 
D)  $( - 5 ) ^ { 15 } \mathrm { p } ^ { 15 } \mathrm { q } ^ { 15 } \mathrm { r } ^ { 15 }$

Question 6

Express the following using negative exponents.
-$\frac { 1 } { 3 ^ { 9 } }$

Accepted Answer

A)  $3 ^ { 9 }$ 
B)  $3 ^ { - 9 }$ 
C)  $9 ^ { - 3 }$ 
D)  $3 - 10$ 
A)  $3 ^ { 9 }$ 
B)  $3 ^ { - 9 }$ 
C)  $9 ^ { - 3 }$ 
D)  $3 - 10$

Question 7

Evaluate.
-$y ^ { 16 }$ when $y = 1$

Accepted Answer

A)  16 
B)  0 
C)  $- 1$ 
D)  1 
A)  16 
B)  0 
C)  $- 1$ 
D)  1

Question 8

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

Accepted Answer

A)  $\frac { x ^ { 12 } y ^ { 3 } } { z ^ { 2 } }$ 
B)  $\frac { x ^ { 12 } y ^ { 3 } } { z ^ { 6 } }$ 
C)  $\frac { x ^ { 7 } y ^ { 3 } } { z ^ { 5 } }$ 
D)  $\frac { x ^ { 3 } y ^ { 12 } } { z ^ { 6 } }$ 
A)  $\frac { x ^ { 12 } y ^ { 3 } } { z ^ { 2 } }$ 
B)  $\frac { x ^ { 12 } y ^ { 3 } } { z ^ { 6 } }$ 
C)  $\frac { x ^ { 7 } y ^ { 3 } } { z ^ { 5 } }$ 
D)  $\frac { x ^ { 3 } y ^ { 12 } } { z ^ { 6 } }$

Question 9

Multiply and simplify.
-$\mathrm { x } ^ { - 9 } \cdot \mathrm { x } ^ { 3 } \cdot \mathrm { x } ^ { - 8 }$

Accepted Answer

A)  $x ^ { 20 }$ 
B)  $x ^ { 14 }$ 
C)  $\frac { 1 } { x ^ { 20 } }$ 
D)  $\frac { 1 } { \mathrm { x } ^ { 14 } }$ 
A)  $x ^ { 20 }$ 
B)  $x ^ { 14 }$ 
C)  $\frac { 1 } { x ^ { 20 } }$ 
D)  $\frac { 1 } { \mathrm { x } ^ { 14 } }$

Question 10

Write the number in scientific notation.
-597.08

Accepted Answer

A)  $5.9708 \times 10 ^ { - 1 }$ 
B)  $5.9708 \times 10 ^ { 1 }$ 
C)  $5.9708 \times 10 ^ { 2 }$ 
D)  $5.9708 \times 10 ^ { - 2 }$ 
A)  $5.9708 \times 10 ^ { - 1 }$ 
B)  $5.9708 \times 10 ^ { 1 }$ 
C)  $5.9708 \times 10 ^ { 2 }$ 
D)  $5.9708 \times 10 ^ { - 2 }$

Question 11

Multiply and simplify.
-$$y ^ { - 7 } \cdot y ^ { - 3 }$$

Accepted Answer

A)  $\frac { 1 } { y ^ { 4 } }$ 
B)  $\frac { 1 } { y ^ { - 10 } }$ 
C)  $\frac { 1 } { \mathrm { y } ^ { 10 } }$ 
D)  $\mathrm { y } ^ { 10 }$ 
A)  $\frac { 1 } { y ^ { 4 } }$ 
B)  $\frac { 1 } { y ^ { - 10 } }$ 
C)  $\frac { 1 } { \mathrm { y } ^ { 10 } }$ 
D)  $\mathrm { y } ^ { 10 }$

Question 12

Express the following using negative exponents.
-$\frac { 1 } { x ^ { 9 } }$

Accepted Answer

A)  $x ^ { 9 }$ 
B)  $9 ^ { - x }$ 
C)  $9 ^ { - x + 1 }$ 
D)  $x ^ { - 9 }$ 
A)  $x ^ { 9 }$ 
B)  $9 ^ { - x }$ 
C)  $9 ^ { - x + 1 }$ 
D)  $x ^ { - 9 }$

Question 13

Express using positive exponents. Then simplify.
-$\left( \frac { 1 } { 2 } \right) ^ { - 2 }$

Accepted Answer

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

Question 14

Express using positive exponents. Then simplify.
-$$\left( \frac { 1 } { 3 } \right) ^ { - 2 }$$

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  9 
C)  $\frac { 1 } { 9 }$ 
D)  $- 9$ 
A)  $\frac { 1 } { 6 }$ 
B)  9 
C)  $\frac { 1 } { 9 }$ 
D)  $- 9$

Question 15

Simplify.
-$\left( \frac { 5 a } { 3 } \right) ^ { 2 }$

Accepted Answer

A)  $\frac { 5 a ^ { 2 } } { 9 }$ 
B)  $\frac { 25 a } { 9 }$ 
C)  $\frac { 25 a ^ { 2 } } { 3 }$ 
D)  $\frac { 25 a ^ { 2 } } { 9 }$ 
A)  $\frac { 5 a ^ { 2 } } { 9 }$ 
B)  $\frac { 25 a } { 9 }$ 
C)  $\frac { 25 a ^ { 2 } } { 3 }$ 
D)  $\frac { 25 a ^ { 2 } } { 9 }$

Question 16

Simplify.
-$$- 2 \left( x ^ { 3 } y \right) ^ { - 5 }$$

Accepted Answer

A)  $- 2 x 15 y 5$ 
B)  $\frac { 1 } { ( - 2 ) ^ { 5 } \mathrm { x } ^ { 15 } \mathrm { y } ^ { 5 } }$ 
C)  $- 10 x ^ { 3 } y ^ { 5 }$ 
D)  $\frac { - 2 } { x ^ { 15 } y ^ { 5 } }$ 
A)  $- 2 x 15 y 5$ 
B)  $\frac { 1 } { ( - 2 ) ^ { 5 } \mathrm { x } ^ { 15 } \mathrm { y } ^ { 5 } }$ 
C)  $- 10 x ^ { 3 } y ^ { 5 }$ 
D)  $\frac { - 2 } { x ^ { 15 } y ^ { 5 } }$

Question 17

Multiply and simplify.
-$$3 ^ { - 6 } \cdot 3 ^ { 8 }$$

Accepted Answer

A)  1 
B)  $3 ^ { 8 }$ 
C)   $3 ^ { 10 }$ 
D)  $3 ^ { 2 }$ 
A)  1 
B)  $3 ^ { 8 }$ 
C)   $3 ^ { 10 }$ 
D)  $3 ^ { 2 }$

Question 18

Write the number in scientific notation.
-$0.000973$

Accepted Answer

A)  $9.73 \times 10 ^ { - 5 }$ 
B)  $9.73 \times 10 ^ { - 3 }$ 
C)  $9.73 \times 10 ^ { - 4 }$ 
D)  $9.73 \times 10 ^ { 4 }$ 
A)  $9.73 \times 10 ^ { - 5 }$ 
B)  $9.73 \times 10 ^ { - 3 }$ 
C)  $9.73 \times 10 ^ { - 4 }$ 
D)  $9.73 \times 10 ^ { 4 }$

Question 19

Evaluate.
-$( 4 x ) ^ { 0 ; } x \neq 0$

Accepted Answer

A)  4 
B)  $4 x$ 
C)  0 
D)  1 
A)  4 
B)  $4 x$ 
C)  0 
D)  1

Question 20

Write the number in scientific notation.
-$0.0000000120014$

Accepted Answer

A)  $1.20014 \times 10 ^ { 8 }$ 
B)  $1.20014 \times 10 ^ { - 7 }$ 
C)  $1.20014 \times 10 ^ { - 8 }$ 
D)  $1.20014 \times 10 ^ { - 9 }$ 
A)  $1.20014 \times 10 ^ { 8 }$ 
B)  $1.20014 \times 10 ^ { - 7 }$ 
C)  $1.20014 \times 10 ^ { - 8 }$ 
D)  $1.20014 \times 10 ^ { - 9 }$

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

Evaluate. - $6.74 ^ { 1 }$

Divide and simplify. - $\frac { y ^ { - 13 } } { y ^ { 3 } }$

Evaluate. - $y ^ { 1 } - 6$ , when $y = - 9$

Simplify. - $\left( - 5 p ^ { 3 } q ^ { 3 } r ^ { 3 } \right) ^ { 5 }$

Express the following using negative exponents. - $\frac { 1 } { 3 ^ { 9 } }$

Evaluate. - $y ^ { 16 }$ when $y = 1$

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

Multiply and simplify. - $\mathrm { x } ^ { - 9 } \cdot \mathrm { x } ^ { 3 } \cdot \mathrm { x } ^ { - 8 }$

Write the number in scientific notation. -597.08

Multiply and simplify. - $y ^ { - 7 } \cdot y ^ { - 3 }$

Express the following using negative exponents. - $\frac { 1 } { x ^ { 9 } }$

Express using positive exponents. Then simplify. - $\left( \frac { 1 } { 2 } \right) ^ { - 2 }$

Express using positive exponents. Then simplify. - $\left( \frac { 1 } { 3 } \right) ^ { - 2 }$

Simplify. - $\left( \frac { 5 a } { 3 } \right) ^ { 2 }$

Simplify. - $- 2 \left( x ^ { 3 } y \right) ^ { - 5 }$

Multiply and simplify. - $3 ^ { - 6 } \cdot 3 ^ { 8 }$

Write the number in scientific notation. - $0.000973$

Evaluate. - $( 4 x ) ^ { 0 ; } x \neq 0$

Write the number in scientific notation. - $0.0000000120014$

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

Finding Measures of Central Tendency for Prices and Heights

Filters

Exam 4: Polynomials: Operations

Divide and simplify. - t8t\frac { t ^ { 8 } } { t }tt8​

Evaluate. - 6.7416.74 ^ { 1 }6.741

Divide and simplify. - y−13y3\frac { y ^ { - 13 } } { y ^ { 3 } }y3y−13​

Evaluate. - y1−6y ^ { 1 } - 6y1−6 , when y=−9y = - 9y=−9

Simplify. - (−5p3q3r3)5\left( - 5 p ^ { 3 } q ^ { 3 } r ^ { 3 } \right) ^ { 5 }(−5p3q3r3)5

Express the following using negative exponents. - 139\frac { 1 } { 3 ^ { 9 } }391​

Evaluate. - y16y ^ { 16 }y16 when y=1y = 1y=1

Simplify. - (x4yz2)3\left( \frac { x ^ { 4 } y } { z ^ { 2 } } \right) ^ { 3 }(z2x4y​)3

Multiply and simplify. - x−9⋅x3⋅x−8\mathrm { x } ^ { - 9 } \cdot \mathrm { x } ^ { 3 } \cdot \mathrm { x } ^ { - 8 }x−9⋅x3⋅x−8