Question 1

Write the number in scientific notation.
-$0.000000479012$

Accepted Answer

A)  $4.79012 \times 10 ^ { - 6 }$ 
B)  $4.79012 \times 10 ^ { 7 }$ 
C)  $4.79012 \times 10 ^ { 6 }$ 
D)  $4.79012 \times 10 ^ { - 7 }$ 
A)  $4.79012 \times 10 ^ { - 6 }$ 
B)  $4.79012 \times 10 ^ { 7 }$ 
C)  $4.79012 \times 10 ^ { 6 }$ 
D)  $4.79012 \times 10 ^ { - 7 }$

Question 2

Simplify.
-$\left( \frac { x ^ { 3 } } { y ^ { 3 } z ^ { 8 } } \right) ^ { 4 }$

Accepted Answer

A)  $\frac { x ^ { 12 } } { y ^ { 3 } z ^ { 32 } }$ 
B)  $\frac { x ^ { 8 } } { y ^ { 12 } z ^ { 32 } }$ 
C)  $\frac { x ^ { 12 } } { y ^ { 12 } z ^ { 32 } }$ 
D)  $\frac { x ^ { 7 } } { y ^ { 8 } z ^ { 12 } }$ 
A)  $\frac { x ^ { 12 } } { y ^ { 3 } z ^ { 32 } }$ 
B)  $\frac { x ^ { 8 } } { y ^ { 12 } z ^ { 32 } }$ 
C)  $\frac { x ^ { 12 } } { y ^ { 12 } z ^ { 32 } }$ 
D)  $\frac { x ^ { 7 } } { y ^ { 8 } z ^ { 12 } }$

Question 3

Evaluate.
-$\left( \frac { 4 } { 5 } \right) ^ { 1 }$

Accepted Answer

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

Question 4

Evaluate.
-$\left( - \frac { 3 } { 7 } \right) ^ { 0 }$

Accepted Answer

A)  $\frac { 3 } { 7 }$ 
B)  1 
C)  0 
D)  $- 1$ 
A)  $\frac { 3 } { 7 }$ 
B)  1 
C)  0 
D)  $- 1$

Question 5

Convert to decimal notation.
-$8.373 \times 10 ^ { - 6 }$

Accepted Answer

A)  $0.00008373$ 
B)  $- 8,373,000$ 
C)  $0.000008373$ 
D)  $0.0000008373$ 
A)  $0.00008373$ 
B)  $- 8,373,000$ 
C)  $0.000008373$ 
D)  $0.0000008373$

Question 6

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

Accepted Answer

A)  $3 ^ { - b }$ 
B)  $b ^ { - 3 }$ 
C)  $3 ^ { - b - 1 }$ 
D)  $b ^ { 3 }$ 
A)  $3 ^ { - b }$ 
B)  $b ^ { - 3 }$ 
C)  $3 ^ { - b - 1 }$ 
D)  $b ^ { 3 }$

Question 7

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 computer can do one calculation in $1.4 \times 10 ^ { - 7 }$ seconds.

Accepted Answer

A)  $0.000014$ 
B)  $0.000000014$ 
C)  $0.00000014$ 
D)  $14,000,000$ 
A)  $0.000014$ 
B)  $0.000000014$ 
C)  $0.00000014$ 
D)  $14,000,000$

Question 8

Write the number in scientific notation.
-$5,800,000$

Accepted Answer

A)  $5.8 \times 10 ^ { - 5 }$ 
B)  $5.8 \times 10 ^ { - 6 }$ 
C)  $5.8 \times 10 ^ { 6 }$ 
D)  $5.8 \times 10 ^ { 5 }$ 
A)  $5.8 \times 10 ^ { - 5 }$ 
B)  $5.8 \times 10 ^ { - 6 }$ 
C)  $5.8 \times 10 ^ { 6 }$ 
D)  $5.8 \times 10 ^ { 5 }$

Question 9

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

Accepted Answer

A)  $\frac { 1 } { x ^ { 6 } }$ 
B)  $x ^ { 6 }$ 
C)  $- 2 x ^ { - 3 }$ 
D)  $x ^ { 1 }$ 
A)  $\frac { 1 } { x ^ { 6 } }$ 
B)  $x ^ { 6 }$ 
C)  $- 2 x ^ { - 3 }$ 
D)  $x ^ { 1 }$

Question 10

Divide and simplify.
-$\frac { ( 11 x ) ^ { 16 } } { ( 11 x ) ^ { 16 } }$

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

Divide and simplify.
-$$\frac { p ^ { 4 } } { p ^ { - 4 } }$$

Accepted Answer

A)  $\frac { 1 } { p ^ { 8 } }$ 
B)  $\mathrm { p } ^ { 8 }$ 
C)  $p ^ { - 8 }$ 
D)  $\mathrm { p } ^ { 0 }$ 
A)  $\frac { 1 } { p ^ { 8 } }$ 
B)  $\mathrm { p } ^ { 8 }$ 
C)  $p ^ { - 8 }$ 
D)  $\mathrm { p } ^ { 0 }$

Question 13

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

Accepted Answer

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

Question 14

Convert to decimal notation.
-$8.941 \times 10 ^ { - 5 }$

Accepted Answer

A)  $0.0008941$ 
B)  $0.000008941$ 
C)  $- 894,100$ 
D)  $0.00008941$ 
A)  $0.0008941$ 
B)  $0.000008941$ 
C)  $- 894,100$ 
D)  $0.00008941$

Question 15

Multiply and simplify.
-$$5 ^ { 11 } \cdot 5 ^ { - 3 }$$

Accepted Answer

A)  $5 ^ { 11 }$ 
B)  $5 ^ { 3 }$ 
C)  $5 ^ { 5 }$ 
D)  $5 ^ { 8 }$ 
A)  $5 ^ { 11 }$ 
B)  $5 ^ { 3 }$ 
C)  $5 ^ { 5 }$ 
D)  $5 ^ { 8 }$

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 population of a small country is $2,038,000$.

Accepted Answer

A)  $2.038 \times 10 ^ { 6 }$ 
B)  $2.038 \times 10 ^ { 4 }$ 
C)  $2.038 \times 10 ^ { 5 }$ 
D)  $2.038 \times 10 ^ { - 5 }$ 
A)  $2.038 \times 10 ^ { 6 }$ 
B)  $2.038 \times 10 ^ { 4 }$ 
C)  $2.038 \times 10 ^ { 5 }$ 
D)  $2.038 \times 10 ^ { - 5 }$

Question 17

Multiply and simplify.
-$y ^ { 20 } \cdot y ^ { 0 }$

Accepted Answer

A)  $y ^ { 20 }$ 
B)  0 
C)  $y ^ { 200 }$ 
D)  1 
A)  $y ^ { 20 }$ 
B)  0 
C)  $y ^ { 200 }$ 
D)  1

Question 18

Write the number in scientific notation.
-$0.00003311$

Accepted Answer

A)  $3.311 \times 10 ^ { 5 }$ 
B)  $3.311 \times 10 ^ { - 4 }$ 
C)  $3.311 \times 10 ^ { - 5 }$ 
D)  $3.311 \times 10 ^ { 4 }$ 
A)  $3.311 \times 10 ^ { 5 }$ 
B)  $3.311 \times 10 ^ { - 4 }$ 
C)  $3.311 \times 10 ^ { - 5 }$ 
D)  $3.311 \times 10 ^ { 4 }$

Question 19

What is the meaning of the expression?
-$4 ^ { 2 }$

Accepted Answer

A)  6 
B)  $4 \cdot 4$ 
C)  3 
D)  $2 \cdot 4$ 
A)  6 
B)  $4 \cdot 4$ 
C)  3 
D)  $2 \cdot 4$

Question 20

Evaluate.
-$b ^ { 1 }$

Accepted Answer

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

Write the number in scientific notation. - $0.000000479012$

Simplify. - $\left( \frac { x ^ { 3 } } { y ^ { 3 } z ^ { 8 } } \right) ^ { 4 }$

Evaluate. - $\left( \frac { 4 } { 5 } \right) ^ { 1 }$

Evaluate. - $\left( - \frac { 3 } { 7 } \right) ^ { 0 }$

Convert to decimal notation. - $8.373 \times 10 ^ { - 6 }$

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

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 computer can do one calculation in $1.4 \times 10 ^ { - 7 }$ seconds.

Write the number in scientific notation. - $5,800,000$

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

Divide and simplify. - $\frac { ( 11 x ) ^ { 16 } } { ( 11 x ) ^ { 16 } }$

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

Divide and simplify. - $\frac { p ^ { 4 } } { p ^ { - 4 } }$

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

Convert to decimal notation. - $8.941 \times 10 ^ { - 5 }$

Multiply and simplify. - $5 ^ { 11 } \cdot 5 ^ { - 3 }$

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. -The population of a small country is $2,038,000$ .

Multiply and simplify. - $y ^ { 20 } \cdot y ^ { 0 }$

Write the number in scientific notation. - $0.00003311$

What is the meaning of the expression? - $4 ^ { 2 }$

Evaluate. - $b ^ { 1 }$

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

Write the number in scientific notation. - 0.0000004790120.0000004790120.000000479012

Simplify. - (x3y3z8)4\left( \frac { x ^ { 3 } } { y ^ { 3 } z ^ { 8 } } \right) ^ { 4 }(y3z8x3​)4

Evaluate. - (45)1\left( \frac { 4 } { 5 } \right) ^ { 1 }(54​)1

Evaluate. - (−37)0\left( - \frac { 3 } { 7 } \right) ^ { 0 }(−73​)0

Convert to decimal notation. - 8.373×10−68.373 \times 10 ^ { - 6 }8.373×10−6

Express the following using negative exponents. - 1 b3\frac { 1 } { \mathrm {~b} ^ { 3 } } b31​

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 computer can do one calculation in 1.4×10−71.4 \times 10 ^ { - 7 }1.4×10−7 seconds.

Write the number in scientific notation. - 5,800,0005,800,0005,800,000

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

Divide and simplify. - (11x)16(11x)16\frac { ( 11 x ) ^ { 16 } } { ( 11 x ) ^ { 16 } }(11x)16(11x)16​

Express using positive exponents. Then simplify. - 1x−m\frac { 1 } { x ^ { - m } }x−m1​

Divide and simplify. - p4p−4\frac { p ^ { 4 } } { p ^ { - 4 } }p−4p4​

Evaluate. - x0;x≠0x ^ { 0 } ; x \neq 0x0;x=0

Convert to decimal notation. - 8.941×10−58.941 \times 10 ^ { - 5 }8.941×10−5

Multiply and simplify. - 511⋅5−35 ^ { 11 } \cdot 5 ^ { - 3 }511⋅5−3

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. -The population of a small country is 2,038,0002,038,0002,038,000 .

Multiply and simplify. - y20⋅y0y ^ { 20 } \cdot y ^ { 0 }y20⋅y0

Write the number in scientific notation. - 0.000033110.000033110.00003311

What is the meaning of the expression? - 424 ^ { 2 }42

Evaluate. - b1b ^ { 1 }b1