Question 1

Evaluate.
-$( - 9 ) ^ { 0 }$

Accepted Answer

A)  1 
B)  0 
C)  $- 1$ 
D)  $- 9$ 
A)  1 
B)  0 
C)  $- 1$ 
D)  $- 9$ A

Question 2

Multiply and simplify.
-$\left( x ^ { 2 } y ^ { 6 } \right) \left( x ^ { 5 } y \right)$

Accepted Answer

A)  $2 x ^ { 7 } 2 y ^ { 7 }$ 
B)  $x ^ { 10 } y ^ { 6 }$ 
C)  $x ^ { 7 } y ^ { 6 }$ 
D)  $x ^ { 7 } y ^ { 7 }$ 
A)  $2 x ^ { 7 } 2 y ^ { 7 }$ 
B)  $x ^ { 10 } y ^ { 6 }$ 
C)  $x ^ { 7 } y ^ { 6 }$ 
D)  $x ^ { 7 } y ^ { 7 }$ D

Question 3

If the number in the statement is written in scientific notation, write it without exponents. If it is written without
exponents, write it in scientific notation.
-It has been estimated that the average American watches 58,240 hours of television in a lifetime.

Accepted Answer

A)  $5.824 \times 10 ^ { 4 }$ hours 
B)  $58.24 \times 10 ^ { 3 }$ hours 
C)  $5.824 \times 10 ^ { 3 }$ hours 
D)  $5.824 \times 10 ^ { 5 }$ hours 
A)  $5.824 \times 10 ^ { 4 }$ hours 
B)  $58.24 \times 10 ^ { 3 }$ hours 
C)  $5.824 \times 10 ^ { 3 }$ hours 
D)  $5.824 \times 10 ^ { 5 }$ hours A

Question 4

Convert to decimal notation.
-$10 ^ { - 7 }$

Accepted Answer

A)  $0.00000001$ 
B)  $0.00001$ 
C)  $0.0000001$ 
D)  $0.000001$ 
A)  $0.00000001$ 
B)  $0.00001$ 
C)  $0.0000001$ 
D)  $0.000001$

Question 5

What is the meaning of the expression?
-$4 ^ { 6 }$

Accepted Answer

A)  $4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4$ 
B)  $6 \cdot 4$ 
C)  5 
D)  46 
A)  $4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4$ 
B)  $6 \cdot 4$ 
C)  5 
D)  46

Question 6

Multiply and simplify.
-$3 ^ { 3 \cdot 3 ^ { 4 } }$

Accepted Answer

A)  7 
B)  3 11 
C)  $3 ^ { 7 }$ 
D)  1 
A)  7 
B)  3 11 
C)  $3 ^ { 7 }$ 
D)  1

Question 7

Evaluate.
-The volume of a cube with sides of length s is given by $V = s ^ { 3 }$. Find the volume of the cube.

Accepted Answer

A)  17,576 in. 3 
B)  1352 in. 3 
C)  78 in. 3 
D)  $676 \mathrm { in } ^ { 3 }$ 
A)  17,576 in. 3 
B)  1352 in. 3 
C)  78 in. 3 
D)  $676 \mathrm { in } ^ { 3 }$

Question 8

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

Accepted Answer

A)  $\frac { 1 } { x ^ { 9 } }$ 
B)  $x ^ { 9 }$ 
C)  $\frac { 1 } { x ^ { 7 } }$ 
D)  $x ^ { 7 }$ 
A)  $\frac { 1 } { x ^ { 9 } }$ 
B)  $x ^ { 9 }$ 
C)  $\frac { 1 } { x ^ { 7 } }$ 
D)  $x ^ { 7 }$

Question 9

Write the number in scientific notation.
-878,835

Accepted Answer

A)  $8.78835 \times 10 ^ { 1 }$ 
B)  $8.78835 \times 10 ^ { 6 }$ 
C)  $8.78835 \times 10 ^ { - 5 }$ 
D)  $8.78835 \times 10 ^ { 5 }$ 
A)  $8.78835 \times 10 ^ { 1 }$ 
B)  $8.78835 \times 10 ^ { 6 }$ 
C)  $8.78835 \times 10 ^ { - 5 }$ 
D)  $8.78835 \times 10 ^ { 5 }$

Question 10

Multiply and simplify.
-$t ^ { 9 } \cdot t ^ { 3 }$

Accepted Answer

A)  $t ^ { 6 }$ 
B)  $\mathrm { t } ^ { 12 }$ 
C)  $\frac { 1 } { t ^ { 12 } }$ 
D)  $\frac { 1 } { t ^ { 6 } }$ 
A)  $t ^ { 6 }$ 
B)  $\mathrm { t } ^ { 12 }$ 
C)  $\frac { 1 } { t ^ { 12 } }$ 
D)  $\frac { 1 } { t ^ { 6 } }$

Question 11

Multiply or divide and write scientific notation for the result.
-$\left( 10.2 \times 10 ^ { 7 } \right) \div \left( 3 \times 10 ^ { 1 } \right)$

Accepted Answer

A)  $6.8 \times 10 ^ { 8 }$ 
B)  $6.8 \times 10 ^ { 6 }$ 
C)  $3.40 \times 10 ^ { 6 }$ 
D)  $3.40 \times 10 ^ { 8 }$ 
A)  $6.8 \times 10 ^ { 8 }$ 
B)  $6.8 \times 10 ^ { 6 }$ 
C)  $3.40 \times 10 ^ { 6 }$ 
D)  $3.40 \times 10 ^ { 8 }$

Question 12

Express the following using negative exponents.
-$\frac { 1 } { 6 ^ { 3 } }$

Accepted Answer

A)  $6 ^ { - 3 }$ 
B)  $3 ^ { - 6 }$ 
C)  $6 ^ { - 4 }$ 
D)  $6 ^ { 3 }$ 
A)  $6 ^ { - 3 }$ 
B)  $3 ^ { - 6 }$ 
C)  $6 ^ { - 4 }$ 
D)  $6 ^ { 3 }$

Question 13

Convert to decimal notation.
-$10 ^ { 5 }$

Accepted Answer

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

Question 14

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

Accepted Answer

A)  $\frac { a ^ { 6 } } { b ^ { 4 } }$ 
B)  $\frac { a ^ { 4 } } { b ^ { 6 } }$ 
C)  $\frac { a ^ { 4 } } { b ^ { 3 } }$ 
D)  $\frac { a ^ { 3 } } { b ^ { 6 } }$ 
A)  $\frac { a ^ { 6 } } { b ^ { 4 } }$ 
B)  $\frac { a ^ { 4 } } { b ^ { 6 } }$ 
C)  $\frac { a ^ { 4 } } { b ^ { 3 } }$ 
D)  $\frac { a ^ { 3 } } { b ^ { 6 } }$

Question 15

Evaluate.
-$\mathrm { m } ^ { 5 }$ when $\mathrm { m } = 2$

Accepted Answer

A)  25 
B)  10 
C)  4 
D)  32 
A)  25 
B)  10 
C)  4 
D)  32

Question 16

Multiply or divide and write scientific notation for the result.
-$\left( 7.00 \times 10 ^ { - 3 } \right) \left( 3.90 \times 10 ^ { 5 } \right)$

Accepted Answer

A)  $2.7 \times 10 ^ { 3 }$ 
B)  $2.73 \times 10 ^ { - 15 }$ 
C)  $2.7 \times 10 ^ { - 15 }$ 
D)  $2.73 \times 10 ^ { 3 }$ 
A)  $2.7 \times 10 ^ { 3 }$ 
B)  $2.73 \times 10 ^ { - 15 }$ 
C)  $2.7 \times 10 ^ { - 15 }$ 
D)  $2.73 \times 10 ^ { 3 }$

Question 17

Express using positive exponents. Then simplify.
-$$( - 4 ) ^ { - 2 }$$

Accepted Answer

A)  $- \frac { 1 } { 16 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $- 16$ 
D)  16 
A)  $- \frac { 1 } { 16 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $- 16$ 
D)  16

Question 18

Simplify.
-$\left( 5 ^ { 5 } \right) ^ { - 4 }$

Accepted Answer

A)  $5 ^ { 1 }$ 
B)  $\frac { 1 } { 5 ^ { 20 } }$ 
C)  $- 4 \cdot 5 ^ { 5 }$ 
D)  $5 ^ { 20 }$ 
A)  $5 ^ { 1 }$ 
B)  $\frac { 1 } { 5 ^ { 20 } }$ 
C)  $- 4 \cdot 5 ^ { 5 }$ 
D)  $5 ^ { 20 }$

Question 19

What is the meaning of the expression?
-$( - 3.7 ) ^ { 3 }$

Accepted Answer

A)  $- 3.7 \cdot 3.7 \cdot 3.7$ 
B)  $( 3.7 ) ( 3.7 ) ( 3.7 )$ 
C)  $3 ( - 3.7 )$ 
D)  $( - 3.7 ) ( - 3.7 ) ( - 3.7 )$ 
A)  $- 3.7 \cdot 3.7 \cdot 3.7$ 
B)  $( 3.7 ) ( 3.7 ) ( 3.7 )$ 
C)  $3 ( - 3.7 )$ 
D)  $( - 3.7 ) ( - 3.7 ) ( - 3.7 )$

Question 20

Divide and simplify.
-$\frac { ( 4 p ) ^ { 10 } } { ( 4 p ) ^ { 7 } }$

Accepted Answer

A)  $\frac { 1 } { 64 p ^ { 3 } }$ 
B)  $64 p ^ { 3 }$ 
C)  $\frac { p ^ { 3 } } { 64 }$ 
D)  $\frac { 64 } { \mathrm { p } ^ { 3 } }$ 
A)  $\frac { 1 } { 64 p ^ { 3 } }$ 
B)  $64 p ^ { 3 }$ 
C)  $\frac { p ^ { 3 } } { 64 }$ 
D)  $\frac { 64 } { \mathrm { p } ^ { 3 } }$

Evaluate. - $( - 9 ) ^ { 0 }$

Multiply and simplify. - $\left( x ^ { 2 } y ^ { 6 } \right) \left( x ^ { 5 } y \right)$

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -It has been estimated that the average American watches 58,240 hours of television in a lifetime.

Convert to decimal notation. - $10 ^ { - 7 }$

What is the meaning of the expression? - $4 ^ { 6 }$

Multiply and simplify. - $3 ^ { 3 \cdot 3 ^ { 4 } }$

Evaluate. -The volume of a cube with sides of length s is given by $V = s ^ { 3 }$ . Find the volume of the cube. $Evaluate. -The volume of a cube with sides of length s is given by V = s ^ { 3 } . Find the volume of the cube.$

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

Write the number in scientific notation. -878,835

Multiply and simplify. - $t ^ { 9 } \cdot t ^ { 3 }$

Multiply or divide and write scientific notation for the result. - $\left( 10.2 \times 10 ^ { 7 } \right) \div \left( 3 \times 10 ^ { 1 } \right)$

Express the following using negative exponents. - $\frac { 1 } { 6 ^ { 3 } }$

Convert to decimal notation. - $10 ^ { 5 }$

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

Evaluate. - $\mathrm { m } ^ { 5 }$ when $\mathrm { m } = 2$

Multiply or divide and write scientific notation for the result. - $\left( 7.00 \times 10 ^ { - 3 } \right) \left( 3.90 \times 10 ^ { 5 } \right)$

Express using positive exponents. Then simplify. - $( - 4 ) ^ { - 2 }$

Simplify. - $\left( 5 ^ { 5 } \right) ^ { - 4 }$

What is the meaning of the expression? - $( - 3.7 ) ^ { 3 }$

Divide and simplify. - $\frac { ( 4 p ) ^ { 10 } } { ( 4 p ) ^ { 7 } }$

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

Evaluate. - (−9)0( - 9 ) ^ { 0 }(−9)0

Multiply and simplify. - (x2y6)(x5y)\left( x ^ { 2 } y ^ { 6 } \right) \left( x ^ { 5 } y \right)(x2y6)(x5y)

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -It has been estimated that the average American watches 58,240 hours of television in a lifetime.

Convert to decimal notation. - 10−710 ^ { - 7 }10−7

What is the meaning of the expression? - 464 ^ { 6 }46

Multiply and simplify. - 33⋅343 ^ { 3 \cdot 3 ^ { 4 } }33⋅34

Evaluate. -The volume of a cube with sides of length s is given by V=s3V = s ^ { 3 }V=s3 . Find the volume of the cube.

Multiply and simplify. - x⋅x−8x \cdot x ^ { - 8 }x⋅x−8