Question 1

Convert to decimal notation.
-$5.43 \times 10 ^ { - 4 }$

Accepted Answer

A)  $0.00543$ 
B)  $- 543,000$ 
C)  $0.000543$ 
D)  $0.0000543$ 
A)  $0.00543$ 
B)  $- 543,000$ 
C)  $0.000543$ 
D)  $0.0000543$

Question 2

What is the meaning of the expression?
-$0.05 ^ { 3 }$

Accepted Answer

A)  $0.000216$ 
B)  $3 \cdot 0.05$ 
C)  $0.00000625$ 
D)  $0.05 \cdot 0.05 \cdot 0.05$ 
A)  $0.000216$ 
B)  $3 \cdot 0.05$ 
C)  $0.00000625$ 
D)  $0.05 \cdot 0.05 \cdot 0.05$

Question 3

Evaluate.
-$\mathrm { m } ^ { 2 }$ when $\mathrm { m } = 19$

Accepted Answer

A)  21 
B)  38 
C)  361 
D)  722 
A)  21 
B)  38 
C)  361 
D)  722

Question 4

Simplify.
-$$\left( - 3 p ^ { - 2 } q ^ { 2 } r ^ { - 2 } \right) ^ { 6 }$$

Accepted Answer

A)  $\frac { ( - 3 ) ^ { 6 } } { p ^ { 12 } q ^ { 12 } { } _ { r } 12 }$ 
B)  $\frac { ( - 3 ) ^ { 6 } p ^ { 12 } } { q ^ { 12 } r ^ { 12 } }$ 
C)  $\frac { ( - 3 ) ^ { 6 } q ^ { 12 } } { p ^ { 12 } r ^ { 12 } }$ 
D)  $( - 3 ) ^ { 6 } \mathrm { p } ^ { 12 } \mathrm { q } ^ { 12 } { } _ { \mathrm { r } } ^ { 12 }$ 
A)  $\frac { ( - 3 ) ^ { 6 } } { p ^ { 12 } q ^ { 12 } { } _ { r } 12 }$ 
B)  $\frac { ( - 3 ) ^ { 6 } p ^ { 12 } } { q ^ { 12 } r ^ { 12 } }$ 
C)  $\frac { ( - 3 ) ^ { 6 } q ^ { 12 } } { p ^ { 12 } r ^ { 12 } }$ 
D)  $( - 3 ) ^ { 6 } \mathrm { p } ^ { 12 } \mathrm { q } ^ { 12 } { } _ { \mathrm { r } } ^ { 12 }$

Question 5

Multiply or divide and write scientific notation for the result.
-$\left( 2 \times 10 ^ { 7 } \right) \div 10 ^ { - 2 }$

Accepted Answer

A)  $2 \times 10 ^ { 5 }$ 
B)  $2 \times 10 ^ { 9 }$ 
C)  $2 \times 10 ^ { 8 }$ 
D)  $2 \times 10 ^ { -8 }$ 
A)  $2 \times 10 ^ { 5 }$ 
B)  $2 \times 10 ^ { 9 }$ 
C)  $2 \times 10 ^ { 8 }$ 
D)  $2 \times 10 ^ { -8 }$

Question 6

Divide and simplify.
-$\frac { t ^ { - 3 } } { t ^ { - 7 } }$

Accepted Answer

A)  $t ^ { - 4 }$ 
B)  $t ^ { 4 }$ 
C)  $\mathrm { t } ^ { 10 }$ 
D)  $t ^ { - 10 }$ 
A)  $t ^ { - 4 }$ 
B)  $t ^ { 4 }$ 
C)  $\mathrm { t } ^ { 10 }$ 
D)  $t ^ { - 10 }$

Question 7

Divide and simplify.
-$\frac { ( 29 x ) ^ { 7 } } { ( 29 x ) ^ { 8 } }$

Accepted Answer

A)  $\frac { 1 } { 29 x ^ { 7 } }$ 
B)  $29 x$ 
C)  $\frac { 1 } { 29 x }$ 
D)  $\frac { 1 } { x ^ { 7 } }$ 
A)  $\frac { 1 } { 29 x ^ { 7 } }$ 
B)  $29 x$ 
C)  $\frac { 1 } { 29 x }$ 
D)  $\frac { 1 } { x ^ { 7 } }$

Question 8

Multiply and simplify.
-(6x) ${ } ^ { 17 } ( 6 x ) ^ { 15 }$

Accepted Answer

A)  $( 6 x ) ^ { 255 }$ 
B)  $( 6 x ) ^ { 32 }$ 
C)  $6 x ^ { 32 }$ 
D)  $6 x ^ { 255 }$ 
A)  $( 6 x ) ^ { 255 }$ 
B)  $( 6 x ) ^ { 32 }$ 
C)  $6 x ^ { 32 }$ 
D)  $6 x ^ { 255 }$

Question 9

Express using positive exponents. Then simplify.
-$\frac { 1 } { x ^ { - 8 } }$

Accepted Answer

A)  $x ^ { 8 }$ 
B)  $x ^ { - 8 }$ 
C)  $\frac { 1 } { x ^ { 8 } }$ 
D)  $8 \mathrm { x }$ 
A)  $x ^ { 8 }$ 
B)  $x ^ { - 8 }$ 
C)  $\frac { 1 } { x ^ { 8 } }$ 
D)  $8 \mathrm { x }$

Question 10

Evaluate.
-$m ^ { 4 }$ when $m = 3$

Accepted Answer

A)  5 
B)  7 
C)  81 
D)  12 
A)  5 
B)  7 
C)  81 
D)  12

Question 11

Divide and simplify.
-$\frac { t ^ { 5 } } { t ^ { 9 } }$

Accepted Answer

A)  $t ^ { 4 }$ 
B)  $\frac { t ^ { 5 } } { t ^ { 4 } }$ 
C)  $t ^ { - 9 }$ 
D)  $\frac { 1 } { t ^ { 4 } }$ 
A)  $t ^ { 4 }$ 
B)  $\frac { t ^ { 5 } } { t ^ { 4 } }$ 
C)  $t ^ { - 9 }$ 
D)  $\frac { 1 } { t ^ { 4 } }$

Question 12

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.
-The earth is approximately $92,900,000$ miles from the sun.

Accepted Answer

A)  $9.29 \times 10 ^ { 7 }$ 
B)  $9.29 \times 10 ^ { - 7 }$ 
C)  $9.29 \times 10 ^ { 6 }$ 
D)  $9.29 \times 10 ^ { 8 }$ 
A)  $9.29 \times 10 ^ { 7 }$ 
B)  $9.29 \times 10 ^ { - 7 }$ 
C)  $9.29 \times 10 ^ { 6 }$ 
D)  $9.29 \times 10 ^ { 8 }$

Question 13

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.
-The life span of the average male human being is approximately $37,843,200$ minutes.

Accepted Answer

A)  $3.78432 \times 10 ^ { 6 }$ minutes 
B)  $3.78432 \times 10 ^ { 5 }$ minutes 
C)  $37.8432 \times 10 ^ { 6 }$ minutes 
D)  $3.78432 \times 10 ^ { 7 }$ minutes 
A)  $3.78432 \times 10 ^ { 6 }$ minutes 
B)  $3.78432 \times 10 ^ { 5 }$ minutes 
C)  $37.8432 \times 10 ^ { 6 }$ minutes 
D)  $3.78432 \times 10 ^ { 7 }$ minutes

Question 14

Write the number in scientific notation.
-$$630,000$$

Accepted Answer

A)  $6.3 \times 10 ^ { - 4 }$ 
B)  $6.3 \times 10 ^ { - 5 }$ 
C)  $6.3 \times 10 ^ { 4 }$ 
D)  $6.3 \times 10 ^ { 5 }$ 
A)  $6.3 \times 10 ^ { - 4 }$ 
B)  $6.3 \times 10 ^ { - 5 }$ 
C)  $6.3 \times 10 ^ { 4 }$ 
D)  $6.3 \times 10 ^ { 5 }$

Question 15

What is the meaning of the expression?
-$17 ^ { 2 }$

Accepted Answer

A)  578 
B)  19 
C)  $2 \cdot 17$ 
D)  $17 \cdot 17$ 
A)  578 
B)  19 
C)  $2 \cdot 17$ 
D)  $17 \cdot 17$

Question 16

Divide and simplify.
-$\frac { z ^ { - 7 } } { z ^ { - 5 } }$

Accepted Answer

A)  $\frac { 1 } { \mathrm { z } ^ { - 2 } }$ 
B)  $z ^ { 2 }$ 
C)  $\frac { 1 } { \mathrm { z } ^ { 2 } }$ 
D)  $z ^ { 12 }$ 
A)  $\frac { 1 } { \mathrm { z } ^ { - 2 } }$ 
B)  $z ^ { 2 }$ 
C)  $\frac { 1 } { \mathrm { z } ^ { 2 } }$ 
D)  $z ^ { 12 }$

Question 17

Multiply or divide and write scientific notation for the result.
-$$\frac { 20 \times 10 ^ { - 9 } } { 5 \times 10 ^ { - 6 } }$$

Accepted Answer

A)  $4 \times 10 ^ { - 15 }$ 
B)  $8 \times 10 ^ { - 15 }$ 
C)  $4 \times 10 ^ { - 3 }$ 
D)  $8 \times 10 ^ { - 3 }$ 
A)  $4 \times 10 ^ { - 15 }$ 
B)  $8 \times 10 ^ { - 15 }$ 
C)  $4 \times 10 ^ { - 3 }$ 
D)  $8 \times 10 ^ { - 3 }$

Question 18

Evaluate.
-$- p ^ { 3 }$, when $p = 7$

Accepted Answer

A)  4 
B)  21 
C)  $- 343$ 
D)  343 
A)  4 
B)  21 
C)  $- 343$ 
D)  343

Question 19

Simplify.
-$$\left( \frac { 2 } { b ^ { - 4 } } \right) ^ { 6 }$$

Accepted Answer

A)  $\frac { 64 } { \mathrm {~b} ^ { 24 } }$ 
B)  $64 \mathrm {~b} ^ { 24 }$ 
C)  $\frac { \mathrm { b } ^ { 24 } } { 64 }$ 
D)  $\frac { 1 } { 64 b ^ { 24 } }$ 
A)  $\frac { 64 } { \mathrm {~b} ^ { 24 } }$ 
B)  $64 \mathrm {~b} ^ { 24 }$ 
C)  $\frac { \mathrm { b } ^ { 24 } } { 64 }$ 
D)  $\frac { 1 } { 64 b ^ { 24 } }$

Question 20

Evaluate.
-$12 ^ { 0 }$

Accepted Answer

A)  12 
B)  1 
C)  0 
D)  $- 1$ 
A)  12 
B)  1 
C)  0 
D)  $- 1$

Convert to decimal notation. - $5.43 \times 10 ^ { - 4 }$

What is the meaning of the expression? - $0.05 ^ { 3 }$

Evaluate. - $\mathrm { m } ^ { 2 }$ when $\mathrm { m } = 19$

Simplify. - $\left( - 3 p ^ { - 2 } q ^ { 2 } r ^ { - 2 } \right) ^ { 6 }$

Multiply or divide and write scientific notation for the result. - $\left( 2 \times 10 ^ { 7 } \right) \div 10 ^ { - 2 }$

Divide and simplify. - $\frac { t ^ { - 3 } } { t ^ { - 7 } }$

Divide and simplify. - $\frac { ( 29 x ) ^ { 7 } } { ( 29 x ) ^ { 8 } }$

Multiply and simplify. -(6x) ${ } ^ { 17 } ( 6 x ) ^ { 15 }$

Express using positive exponents. Then simplify. - $\frac { 1 } { x ^ { - 8 } }$

Evaluate. - $m ^ { 4 }$ when $m = 3$

Divide and simplify. - $\frac { t ^ { 5 } } { t ^ { 9 } }$

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. -The earth is approximately $92,900,000$ miles from the sun.

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. -The life span of the average male human being is approximately $37,843,200$ minutes.

Write the number in scientific notation. - $630,000$

What is the meaning of the expression? - $17 ^ { 2 }$

Divide and simplify. - $\frac { z ^ { - 7 } } { z ^ { - 5 } }$

Multiply or divide and write scientific notation for the result. - $\frac { 20 \times 10 ^ { - 9 } } { 5 \times 10 ^ { - 6 } }$

Evaluate. - $- p ^ { 3 }$ , when $p = 7$

Simplify. - $\left( \frac { 2 } { b ^ { - 4 } } \right) ^ { 6 }$

Evaluate. - $12 ^ { 0 }$

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

Convert to decimal notation. - 5.43×10−45.43 \times 10 ^ { - 4 }5.43×10−4

What is the meaning of the expression? - 0.0530.05 ^ { 3 }0.053

Evaluate. - m2\mathrm { m } ^ { 2 }m2 when m=19\mathrm { m } = 19m=19

Simplify. - (−3p−2q2r−2)6\left( - 3 p ^ { - 2 } q ^ { 2 } r ^ { - 2 } \right) ^ { 6 }(−3p−2q2r−2)6

Multiply or divide and write scientific notation for the result. - (2×107)÷10−2\left( 2 \times 10 ^ { 7 } \right) \div 10 ^ { - 2 }(2×107)÷10−2

Divide and simplify. - t−3t−7\frac { t ^ { - 3 } } { t ^ { - 7 } }t−7t−3​

Divide and simplify. - (29x)7(29x)8\frac { ( 29 x ) ^ { 7 } } { ( 29 x ) ^ { 8 } }(29x)8(29x)7​

Multiply and simplify. -(6x) 17(6x)15{ } ^ { 17 } ( 6 x ) ^ { 15 }17(6x)15

Express using positive exponents. Then simplify. - 1x−8\frac { 1 } { x ^ { - 8 } }x−81​

Evaluate. - m4m ^ { 4 }m4 when m=3m = 3m=3

Divide and simplify. - t5t9\frac { t ^ { 5 } } { t ^ { 9 } }t9t5​

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. -The earth is approximately 92,900,00092,900,00092,900,000 miles from the sun.

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. -The life span of the average male human being is approximately 37,843,20037,843,20037,843,200 minutes.

Write the number in scientific notation. - 630,000630,000630,000

What is the meaning of the expression? - 17217 ^ { 2 }172

Divide and simplify. - z−7z−5\frac { z ^ { - 7 } } { z ^ { - 5 } }z−5z−7​

Multiply or divide and write scientific notation for the result. - 20×10−95×10−6\frac { 20 \times 10 ^ { - 9 } } { 5 \times 10 ^ { - 6 } }5×10−620×10−9​

Evaluate. - −p3- p ^ { 3 }−p3 , when p=7p = 7p=7

Simplify. - (2b−4)6\left( \frac { 2 } { b ^ { - 4 } } \right) ^ { 6 }(b−42​)6

Evaluate. - 12012 ^ { 0 }120