Question 1

Express the following using negative exponents.
-$\frac { 1 } { t ^ { 11 } }$

Accepted Answer

A)  $11 ^ { \mathrm { t } }$ 
B)  $11 ^ { - t }$ 
C)  $\mathrm { t } ^ { 11 }$ 
D)  $t ^ { - 11 }$ 
A)  $11 ^ { \mathrm { t } }$ 
B)  $11 ^ { - t }$ 
C)  $\mathrm { t } ^ { 11 }$ 
D)  $t ^ { - 11 }$

Question 2

Simplify.
-$\left( \frac { x y ^ { 2 } } { w ^ { 6 } z } \right) ^ { - 4 }$

Accepted Answer

A)  $\frac { x y ^ { - 8 } } { w ^ { - 24 } z }$ 
B)  $\frac { w ^ { 24 } z ^ { 4 } } { x ^ { 4 } y ^ { 8 } }$ 
C)  $\frac { x ^ { 4 } y ^ { - 8 } } { w ^ { - 24 } z ^ { 4 } }$ 
D)  $\frac { x ^ { - 4 } y ^ { - 2 } } { w ^ { 2 } z ^ { - 4 } }$ 
A)  $\frac { x y ^ { - 8 } } { w ^ { - 24 } z }$ 
B)  $\frac { w ^ { 24 } z ^ { 4 } } { x ^ { 4 } y ^ { 8 } }$ 
C)  $\frac { x ^ { 4 } y ^ { - 8 } } { w ^ { - 24 } z ^ { 4 } }$ 
D)  $\frac { x ^ { - 4 } y ^ { - 2 } } { w ^ { 2 } z ^ { - 4 } }$

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.
-A company produces 677,000 small appliances in one year.

Accepted Answer

A)  $6.77 \times 10 ^ { - 5 }$ 
B)  $67.7 \times 10 ^ { 4 }$ 
C)  $6.77 \times 10 ^ { 5 }$ 
D)  $6.77 \times 10 ^ { 6 }$ 
A)  $6.77 \times 10 ^ { - 5 }$ 
B)  $67.7 \times 10 ^ { 4 }$ 
C)  $6.77 \times 10 ^ { 5 }$ 
D)  $6.77 \times 10 ^ { 6 }$

Question 4

Evaluate.
-$xy^ { 1 }$

Accepted Answer

A)  $y$ 
B)  $x y$ 
C)  $x$ 
D)  1 
A)  $y$ 
B)  $x y$ 
C)  $x$ 
D)  1

Question 5

Write the number in scientific notation.
-$339.749$

Accepted Answer

A)  $3.39749 \times 10 ^ { 3 }$ 
B)  $3.39749 \times 10 ^ { - 2 }$ 
C)  $3.39749 \times 10 ^ { 2 }$ 
D)  $3.39749 \times 10 ^ { - 3 }$ 
A)  $3.39749 \times 10 ^ { 3 }$ 
B)  $3.39749 \times 10 ^ { - 2 }$ 
C)  $3.39749 \times 10 ^ { 2 }$ 
D)  $3.39749 \times 10 ^ { - 3 }$

Question 6

Evaluate.
-The volume of a cylinder with height $\mathrm { h }$ and radius $\mathrm { r }$ is given by $\mathrm { V } = \pi \mathrm { r } ^ { 2 } \mathrm {~h}$. Find the volume of the cylinder. Use $3.14$ for $\pi$.

Accepted Answer

A)  $942 \mathrm {~m} ^ { 3 }$ 
B)  $471 \mathrm {~m} ^ { 3 }$ 
C)  $3532.5 \mathrm {~m} ^ { 3 }$ 
D)  $14,130 \mathrm {~m} ^ { 3 }$ 
A)  $942 \mathrm {~m} ^ { 3 }$ 
B)  $471 \mathrm {~m} ^ { 3 }$ 
C)  $3532.5 \mathrm {~m} ^ { 3 }$ 
D)  $14,130 \mathrm {~m} ^ { 3 }$

Question 7

Convert to decimal notation.
-$3.123 \times 10 ^ { 4 }$

Accepted Answer

A)  $124.92$ 
B)  312,300 
C)  3123 
D)  31,230 
A)  $124.92$ 
B)  312,300 
C)  3123 
D)  31,230

Question 8

Evaluate.
-$x ^ { 2 } - 4$ when $x = - 7$

Accepted Answer

A)  33 
B)  45 
C)  $- 11$ 
D)  $x ^ { 2 } - 7$ 
A)  33 
B)  45 
C)  $- 11$ 
D)  $x ^ { 2 } - 7$

Question 9

Express using positive exponents. Then simplify.
-$x ^ { - 3 }$

Accepted Answer

A)  $\frac { 1 } { x ^ { - 3 } }$ 
B)  $x ^ { 3 }$ 
C)  $\frac { 1 } { x ^ { 3 } }$ 
D)  $3 \mathrm { x }$ 
A)  $\frac { 1 } { x ^ { - 3 } }$ 
B)  $x ^ { 3 }$ 
C)  $\frac { 1 } { x ^ { 3 } }$ 
D)  $3 \mathrm { x }$

Question 10

Simplify.
-$- 5 \left( x ^ { - 5 } y ^ { - 1 } \right) ^ { - 4 }$

Accepted Answer

A)  $\frac { - 5 } { x ^ { 20 } y ^ { 4 } }$ 
B)  $( - 5 ) ^ { 4 } x ^ { 20 } y ^ { 4 }$ 
C)  $\frac { x ^ { 20 } y ^ { 4 } } { ( - 5 ) ^ { 4 } }$ 
D)  $- 5 x ^ { 20 } y ^ { 4 }$ 
A)  $\frac { - 5 } { x ^ { 20 } y ^ { 4 } }$ 
B)  $( - 5 ) ^ { 4 } x ^ { 20 } y ^ { 4 }$ 
C)  $\frac { x ^ { 20 } y ^ { 4 } } { ( - 5 ) ^ { 4 } }$ 
D)  $- 5 x ^ { 20 } y ^ { 4 }$

Question 11

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

Accepted Answer

A)  $\frac { 256 } { x ^ { 4 } }$ 
B)  $\frac { 256 } { \mathrm { x } }$ 
C)  $256 x ^ { 4 }$ 
D)  $\frac { 4 } { x ^ { 4 } }$ 
A)  $\frac { 256 } { x ^ { 4 } }$ 
B)  $\frac { 256 } { \mathrm { x } }$ 
C)  $256 x ^ { 4 }$ 
D)  $\frac { 4 } { x ^ { 4 } }$

Question 12

What is the meaning of the expression?
-$- 3 q ^ { 3 }$

Accepted Answer

A)  $( - 3 q ) ( - 3 q ) ( - 3 q )$ 
B)  $( - 3 ) ( - 3 ) ( - 3 ) ( q )$ 
C)  $- 3 \cdot \mathrm { q } \cdot \mathrm { q } \cdot \mathrm { q }$ 
D)  $- 3 \cdot \mathrm { q } \cdot 3$ 
A)  $( - 3 q ) ( - 3 q ) ( - 3 q )$ 
B)  $( - 3 ) ( - 3 ) ( - 3 ) ( q )$ 
C)  $- 3 \cdot \mathrm { q } \cdot \mathrm { q } \cdot \mathrm { q }$ 
D)  $- 3 \cdot \mathrm { q } \cdot 3$

Question 13

What is the meaning of the expression?
-$\left( \frac { 4 } { 5 } \right) ^ { 4 }$

Accepted Answer

A)  $4 \left( \frac { 4 } { 5 } \right)$ 
B)  $\left( \frac { 4 } { 5 } \right) \left( \frac { 4 } { 5 } \right) \left( \frac { 4 } { 5 } \right) \left( \frac { 4 } { 5 } \right)$ 
C)  $\frac { 4 \cdot 4 \cdot 4 \cdot 4 } { 5 }$ 
D)  $\frac { 4 } { 5 \cdot 5 \cdot 5 \cdot 5 }$ 
A)  $4 \left( \frac { 4 } { 5 } \right)$ 
B)  $\left( \frac { 4 } { 5 } \right) \left( \frac { 4 } { 5 } \right) \left( \frac { 4 } { 5 } \right) \left( \frac { 4 } { 5 } \right)$ 
C)  $\frac { 4 \cdot 4 \cdot 4 \cdot 4 } { 5 }$ 
D)  $\frac { 4 } { 5 \cdot 5 \cdot 5 \cdot 5 }$

Question 14

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

Accepted Answer

A)  $\frac { 32 } { b ^ { 10 } }$ 
B)  $\frac { b ^ { - 7 } } { 2 ^ { - 5 } }$ 
C)  $\frac { \mathrm { b } ^ { - 10 } } { 2 }$ 
D)  $\frac { b ^ { 10 } } { 2 ^ { 5 } }$ 
A)  $\frac { 32 } { b ^ { 10 } }$ 
B)  $\frac { b ^ { - 7 } } { 2 ^ { - 5 } }$ 
C)  $\frac { \mathrm { b } ^ { - 10 } } { 2 }$ 
D)  $\frac { b ^ { 10 } } { 2 ^ { 5 } }$

Question 15

Evaluate.
-$x ^ { 1 }$, when $x = 10$

Accepted Answer

A)  200 
B)  20 
C)  10 
D)  12 
A)  200 
B)  20 
C)  10 
D)  12

Express the following using negative exponents. - $\frac { 1 } { t ^ { 11 } }$

Simplify. - $\left( \frac { x y ^ { 2 } } { w ^ { 6 } z } \right) ^ { - 4 }$

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. -A company produces 677,000 small appliances in one year.

Evaluate. - $xy^ { 1 }$

Write the number in scientific notation. - $339.749$

Convert to decimal notation. - $3.123 \times 10 ^ { 4 }$

Evaluate. - $x ^ { 2 } - 4$ when $x = - 7$

Express using positive exponents. Then simplify. - $x ^ { - 3 }$

Simplify. - $- 5 \left( x ^ { - 5 } y ^ { - 1 } \right) ^ { - 4 }$

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

What is the meaning of the expression? - $- 3 q ^ { 3 }$

What is the meaning of the expression? - $\left( \frac { 4 } { 5 } \right) ^ { 4 }$

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

Evaluate. - $x ^ { 1 }$ , when $x = 10$

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

Express the following using negative exponents. - 1t11\frac { 1 } { t ^ { 11 } }t111​

Simplify. - (xy2w6z)−4\left( \frac { x y ^ { 2 } } { w ^ { 6 } z } \right) ^ { - 4 }(w6zxy2​)−4

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. -A company produces 677,000 small appliances in one year.

Evaluate. - xy1xy^ { 1 }xy1

Write the number in scientific notation. - 339.749339.749339.749

Evaluate. -The volume of a cylinder with height h\mathrm { h }h and radius r\mathrm { r }r is given by V=πr2 h\mathrm { V } = \pi \mathrm { r } ^ { 2 } \mathrm {~h}V=πr2 h . Find the volume of the cylinder. Use 3.143.143.14 for π\piπ .

Convert to decimal notation. - 3.123×1043.123 \times 10 ^ { 4 }3.123×104

Evaluate. - x2−4x ^ { 2 } - 4x2−4 when x=−7x = - 7x=−7

Express using positive exponents. Then simplify. - x−3x ^ { - 3 }x−3

Simplify. - −5(x−5y−1)−4- 5 \left( x ^ { - 5 } y ^ { - 1 } \right) ^ { - 4 }−5(x−5y−1)−4

Simplify. - (4x)4\left( \frac { 4 } { x } \right) ^ { 4 }(x4​)4

What is the meaning of the expression? - −3q3- 3 q ^ { 3 }−3q3

What is the meaning of the expression? - (45)4\left( \frac { 4 } { 5 } \right) ^ { 4 }(54​)4

Simplify. - (b22)−5\left( \frac { b ^ { 2 } } { 2 } \right) ^ { - 5 }(2b2​)−5

Evaluate. - x1x ^ { 1 }x1 , when x=10x = 10x=10