Question 1

Multiply and simplify.
-$$\left( m n ^ { 4 } \right) \left( m ^ { 2 } n ^ { 5 } \right)$$

Accepted Answer

A)  $m ^ { 2 } n ^ { 9 }$ 
B)  $m ^ { 3 } n ^ { 9 }$ 
C)  $2 m ^ { 3 } 2 n ^ { 9 }$ 
D)  $m ^ { 2 } n ^ { 20 }$ 
A)  $m ^ { 2 } n ^ { 9 }$ 
B)  $m ^ { 3 } n ^ { 9 }$ 
C)  $2 m ^ { 3 } 2 n ^ { 9 }$ 
D)  $m ^ { 2 } n ^ { 20 }$

Question 2

Evaluate.
-$p ^ { 5 }$, when $p = 0$

Accepted Answer

A)  1 
B)  0 
C)  5 
D)  20 
A)  1 
B)  0 
C)  5 
D)  20

Question 3

Evaluate.
-$\mathrm { cd } ^ { 0 }$

Accepted Answer

A)  $c d$ 
B)  $\mathrm { c }$ 
C)  $\mathrm { d }$ 
D)  1 
A)  $c d$ 
B)  $\mathrm { c }$ 
C)  $\mathrm { d }$ 
D)  1

Question 4

Convert to decimal notation.
-$3.8321 \times 10 ^ { 5 }$

Accepted Answer

A)  38,321 
B)  $3,832,100$ 
C)  $191.605$ 
D)  383,210 
A)  38,321 
B)  $3,832,100$ 
C)  $191.605$ 
D)  383,210

Question 5

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

Accepted Answer

A)  $x ^ { 11 }$ 
B)  $\frac { 1 } { \mathrm { x } ^ { 11 } }$ 
C)  $x ^ { 12 }$ 
D)  $\frac { 1 } { \mathrm { x } ^ { 12 } }$ 
A)  $x ^ { 11 }$ 
B)  $\frac { 1 } { \mathrm { x } ^ { 11 } }$ 
C)  $x ^ { 12 }$ 
D)  $\frac { 1 } { \mathrm { x } ^ { 12 } }$

Question 6

Express using positive exponents. Then simplify.
-$$4 ^ { - 3 }$$

Accepted Answer

A)  $\frac { 1 } { 12 }$ 
B)  $- 64$ 
C)  $\frac { 1 } { 64 }$ 
D)  64 
A)  $\frac { 1 } { 12 }$ 
B)  $- 64$ 
C)  $\frac { 1 } { 64 }$ 
D)  64

Question 7

Multiply or divide and write scientific notation for the result.
-$\frac { 11.96 \times 10 ^ { - 4 } } { 4.6 \times 10 ^ { - 2 } }$

Accepted Answer

A)  $5.2 \times 10 ^ { - 2 }$ 
B)  $5.2 \times 10 ^ { - 6 }$ 
C)  $2.6 \times 10 ^ { - 6 }$ 
D)  $2.6 \times 10 ^ { - 2 }$ 
A)  $5.2 \times 10 ^ { - 2 }$ 
B)  $5.2 \times 10 ^ { - 6 }$ 
C)  $2.6 \times 10 ^ { - 6 }$ 
D)  $2.6 \times 10 ^ { - 2 }$

Question 8

Express using positive exponents. Then simplify.
-$- 3 ^ { - 2 }$

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 9

Multiply or divide and write scientific notation for the result.
-$\left( 5 \times 10 ^ { 6 } \right) \left( 8 \times 10 ^ { 8 } \right)$

Accepted Answer

A)  $40 \times 10 ^ { 15 }$ 
B)  $4 \times 10 ^ { 14 }$ 
C)  $4 \times 10 ^ { 15 }$ 
D)  $40 \times 10 ^ { 48 }$ 
A)  $40 \times 10 ^ { 15 }$ 
B)  $4 \times 10 ^ { 14 }$ 
C)  $4 \times 10 ^ { 15 }$ 
D)  $40 \times 10 ^ { 48 }$

Question 10

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

Accepted Answer

A)  $\frac { 27 y ^ { 3 } } { 64 }$ 
B)  $\frac { 27 } { 4 y ^ { 3 } }$ 
C)  $\frac { 27 } { 64 y }$ 
D)  $\frac { 27 } { 64 y ^ { 3 } }$ 
A)  $\frac { 27 y ^ { 3 } } { 64 }$ 
B)  $\frac { 27 } { 4 y ^ { 3 } }$ 
C)  $\frac { 27 } { 64 y }$ 
D)  $\frac { 27 } { 64 y ^ { 3 } }$

Question 11

Evaluate.
-$- 12^0$

Accepted Answer

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

Question 12

Convert to decimal notation.
-$1.87 \times 10 ^ { 6 }$

Accepted Answer

A)  $112.2$ 
B)  $1,870,000$ 
C)  187,000 
D)  $18,700,000$ 
A)  $112.2$ 
B)  $1,870,000$ 
C)  187,000 
D)  $18,700,000$

Question 13

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

Accepted Answer

A)  0 
B)  $- 1$ 
C)  1 
D)  $\frac { 1 } { a ^ { 6 } }$ 
A)  0 
B)  $- 1$ 
C)  1 
D)  $\frac { 1 } { a ^ { 6 } }$

Question 14

What is the meaning of the expression?
-$2 x ^ { 3 }$

Accepted Answer

A)  $2 \cdot x \cdot x \cdot x$ 
B)  $2 \cdot 2 \cdot 2 \cdot x$ 
C)  $2 \mathrm { x } \cdot 2 \mathrm { x } \cdot 2 \mathrm { x }$ 
D)  $2 \cdot x \cdot 3$ 
A)  $2 \cdot x \cdot x \cdot x$ 
B)  $2 \cdot 2 \cdot 2 \cdot x$ 
C)  $2 \mathrm { x } \cdot 2 \mathrm { x } \cdot 2 \mathrm { x }$ 
D)  $2 \cdot x \cdot 3$

Question 15

Write the number in scientific notation.
-$0.0000019214$

Accepted Answer

A)  $1.9214 \times 10 ^ { - 5 }$ 
B)  $1.9214 \times 10 ^ { - 6 }$ 
C)  $1.9214 \times 10 ^ { 6 }$ 
D)  $1.9214 \times 10 ^ { - 7 }$ 
A)  $1.9214 \times 10 ^ { - 5 }$ 
B)  $1.9214 \times 10 ^ { - 6 }$ 
C)  $1.9214 \times 10 ^ { 6 }$ 
D)  $1.9214 \times 10 ^ { - 7 }$

Question 16

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 speed of light is $1.86 \times 10 ^ { 5 }$ miles per hour.

Accepted Answer

A)  186,000 
B)  $18,600,000$ 
C)  $1,860,000$ 
D)  $0.0000186$ 
A)  186,000 
B)  $18,600,000$ 
C)  $1,860,000$ 
D)  $0.0000186$

Question 17

Simplify.
-$\left( \frac { x ^ { 7 } } { 3 } \right) ^ { 3 }$

Accepted Answer

A)  $\frac { x ^ { 10 } } { 27 }$ 
B)  $\frac { x ^ { 21 } } { 27 }$ 
C)  $\frac { x ^ { 4 } } { 27 }$ 
D)  $\frac { a ^ { 21 } } { 3 }$ 
A)  $\frac { x ^ { 10 } } { 27 }$ 
B)  $\frac { x ^ { 21 } } { 27 }$ 
C)  $\frac { x ^ { 4 } } { 27 }$ 
D)  $\frac { a ^ { 21 } } { 3 }$

Question 18

Convert to decimal notation.
-$$9.0328 \times 10 ^ { - 7 }$$

Accepted Answer

A)  $0.00000090328$ 
B)  $0.0000090328$ 
C)  $- 903,280,000$ 
D)  $0.000000090328$ 
A)  $0.00000090328$ 
B)  $0.0000090328$ 
C)  $- 903,280,000$ 
D)  $0.000000090328$

Question 19

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

Accepted Answer

A)  $- 6 x ^ { 4 } y$ 
B)  $- 6 x ^ { 4 } y ^ { 3 }$ 
C)  $( - 2 ) ^ { 3 } x 12 y ^ { 3 }$ 
D)  $( - 2 ) ^ { 3 } x ^ { 7 } y ^ { 3 }$ 
A)  $- 6 x ^ { 4 } y$ 
B)  $- 6 x ^ { 4 } y ^ { 3 }$ 
C)  $( - 2 ) ^ { 3 } x 12 y ^ { 3 }$ 
D)  $( - 2 ) ^ { 3 } x ^ { 7 } y ^ { 3 }$

Question 20

Simplify.
-$\left( - 3 a ^ { 4 } \right) ^ { 3 }$

Accepted Answer

A)  $( - 3 ) ^ { 12 } a ^ { 4 }$ 
B)  $- 9 a ^ { 4 }$ 
C)  $( - 3 ) ^ { 3 } \mathrm { a } ^ { 12 }$ 
D)  $( - 3 ) ^ { 12 } a ^ { 12 }$ 
A)  $( - 3 ) ^ { 12 } a ^ { 4 }$ 
B)  $- 9 a ^ { 4 }$ 
C)  $( - 3 ) ^ { 3 } \mathrm { a } ^ { 12 }$ 
D)  $( - 3 ) ^ { 12 } a ^ { 12 }$

Multiply and simplify. - $\left( m n ^ { 4 } \right) \left( m ^ { 2 } n ^ { 5 } \right)$

Evaluate. - $p ^ { 5 }$ , when $p = 0$

Evaluate. - $\mathrm { cd } ^ { 0 }$

Convert to decimal notation. - $3.8321 \times 10 ^ { 5 }$

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

Express using positive exponents. Then simplify. - $4 ^ { - 3 }$

Multiply or divide and write scientific notation for the result. - $\frac { 11.96 \times 10 ^ { - 4 } } { 4.6 \times 10 ^ { - 2 } }$

Express using positive exponents. Then simplify. - $- 3 ^ { - 2 }$

Multiply or divide and write scientific notation for the result. - $\left( 5 \times 10 ^ { 6 } \right) \left( 8 \times 10 ^ { 8 } \right)$

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

Evaluate. - $- 12^0$

Convert to decimal notation. - $1.87 \times 10 ^ { 6 }$

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

What is the meaning of the expression? - $2 x ^ { 3 }$

Write the number in scientific notation. - $0.0000019214$

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 speed of light is $1.86 \times 10 ^ { 5 }$ miles per hour.

Simplify. - $\left( \frac { x ^ { 7 } } { 3 } \right) ^ { 3 }$

Convert to decimal notation. - $9.0328 \times 10 ^ { - 7 }$

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

Simplify. - $\left( - 3 a ^ { 4 } \right) ^ { 3 }$

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

Multiply and simplify. - (mn4)(m2n5)\left( m n ^ { 4 } \right) \left( m ^ { 2 } n ^ { 5 } \right)(mn4)(m2n5)

Evaluate. - p5p ^ { 5 }p5 , when p=0p = 0p=0

Evaluate. - cd0\mathrm { cd } ^ { 0 }cd0

Convert to decimal notation. - 3.8321×1053.8321 \times 10 ^ { 5 }3.8321×105

Divide and simplify. - xx12\frac { x } { x ^ { 12 } }x12x​

Express using positive exponents. Then simplify. - 4−34 ^ { - 3 }4−3

Multiply or divide and write scientific notation for the result. - 11.96×10−44.6×10−2\frac { 11.96 \times 10 ^ { - 4 } } { 4.6 \times 10 ^ { - 2 } }4.6×10−211.96×10−4​

Express using positive exponents. Then simplify. - −3−2- 3 ^ { - 2 }−3−2

Multiply or divide and write scientific notation for the result. - (5×106)(8×108)\left( 5 \times 10 ^ { 6 } \right) \left( 8 \times 10 ^ { 8 } \right)(5×106)(8×108)

Simplify. - (34y)3\left( \frac { 3 } { 4 y } \right) ^ { 3 }(4y3​)3

Evaluate. - −120- 12^0−120

Convert to decimal notation. - 1.87×1061.87 \times 10 ^ { 6 }1.87×106

Multiply and simplify. - a−6⋅a6a ^ { - 6 } \cdot a ^ { 6 }a−6⋅a6

What is the meaning of the expression? - 2x32 x ^ { 3 }2x3

Write the number in scientific notation. - 0.00000192140.00000192140.0000019214

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 speed of light is 1.86×1051.86 \times 10 ^ { 5 }1.86×105 miles per hour.

Simplify. - (x73)3\left( \frac { x ^ { 7 } } { 3 } \right) ^ { 3 }(3x7​)3

Convert to decimal notation. - 9.0328×10−79.0328 \times 10 ^ { - 7 }9.0328×10−7

Simplify. - (−2x4y)3\left( - 2 x ^ { 4 } y \right) ^ { 3 }(−2x4y)3

Simplify. - (−3a4)3\left( - 3 a ^ { 4 } \right) ^ { 3 }(−3a4)3