Question 1

Find the mistake in the following problem:
 $5 ^ { 4 } \times 5 ^ { 3 } = 25 ^ { 7 }$

Accepted Answer

Add exponents but keep like base.
 $5 ^ { 4 } \times 5 ^ { 3 } = 25 ^ { 7 }$

Question 2

Write the product: $y \left( y ^ { 5 } \right)$

Accepted Answer

A)  $y ^ { 5 }$ 
B)  $2 y ^ { 5 }$ 
C)  $2 y ^ { 6 }$ 
D)  $y ^ { 6 }$ 
A)  $y ^ { 5 }$ 
B)  $2 y ^ { 5 }$ 
C)  $2 y ^ { 6 }$ 
D)  $y ^ { 6 }$ D

Question 3

Perform the indicated operation. Write answer with positive exponents:
 $\frac { 45 x ^ { 2 } } { 9 x ^ { 6 } }$

Accepted Answer

$\frac { 5 } { x ^ { 4 } }$

Question 4

Express the following by using positive exponents:
 $5 ^ { - 3 }$

Accepted Answer

The answer of Express the following by using positive exponents:
...

Question 5

Write the auotient, using positive exponents: $\frac { y ^ { 6 } } { y }$

Accepted Answer

A)  $y ^ { 5 }$ 
B)  $\frac { 1 } { y ^ { 6 } }$ 
C)  $\frac { 1 } { y ^ { 5 } }$ 
D)  $y ^ { 6 }$ 
A)  $y ^ { 5 }$ 
B)  $\frac { 1 } { y ^ { 6 } }$ 
C)  $\frac { 1 } { y ^ { 5 } }$ 
D)  $y ^ { 6 }$

Question 6

Write the quotient using positive exponents: $\frac { x ^ { 5 } } { x ^ { 2 } }$

Accepted Answer

A)  $x ^ { 7 }$ 
B)  1/x⁷ 
C)  $\frac { 1 } { x ^ { 3 } }$ 
D)  $x ^ { 3 }$ 
A)  $x ^ { 7 }$ 
B)  1/x⁷ 
C)  $\frac { 1 } { x ^ { 3 } }$ 
D)  $x ^ { 3 }$

Question 7

Write the product using positive exponents: $x ^ { - 3 } ( x )$

Accepted Answer

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

Question 8

Write an expression and simplify to find the area of the following:

Accepted Answer

The answer of Write an expression and simplify to find...

Question 9

Express the following by using positive exponents:
 $5 ^ { - 3 }$

Accepted Answer

The answer of Express the following by using positive exponents:
...

Question 10

Write $7^{ - 2}$ as an ordinary number.

Accepted Answer

A)  $\frac { 1 } { 14 }$ 
B)  $\frac { 1 } { 49 }$ 
C)  -14 
D)  49 
A)  $\frac { 1 } { 14 }$ 
B)  $\frac { 1 } { 49 }$ 
C)  -14 
D)  49

Question 11

Perform the indicated operation:
 $m \left( m ^ { 2 } \right)$

Accepted Answer

The answer of Perform the indicated operation:
 \(m \left( m...

Question 12

Write $2 ^ { - 4 }$ using a positive exponent.

Accepted Answer

A)  $2^4$ 
B)  $\left( \frac { 1 } { 2 } \right) ^ { 4 }$ 
C)  $\left( \frac { 1 } { - 2 } \right) ^ { 4 }$ 
D)  $( - 2 ) ^ {- 4 }$ 
A)  $2^4$ 
B)  $\left( \frac { 1 } { 2 } \right) ^ { 4 }$ 
C)  $\left( \frac { 1 } { - 2 } \right) ^ { 4 }$ 
D)  $( - 2 ) ^ {- 4 }$

Question 13

Write the quotient using positive exponents: $\frac { x ^ { - 2 } } { x ^ { 6 } }$

Accepted Answer

A)  $x ^ { 3 }$ 
B)  $\frac { 1 } { x ^ { 3 } }$ 
C)  $x ^ { 4 }$ 
D)  $\frac { 1 } { x ^ { 8 } }$ 
A)  $x ^ { 3 }$ 
B)  $\frac { 1 } { x ^ { 3 } }$ 
C)  $x ^ { 4 }$ 
D)  $\frac { 1 } { x ^ { 8 } }$

Question 14

Write the product: x(x)

Accepted Answer

A)  $x$ 
B)  $2 x ^ { 2 }$ 
C)  $x ^ { 2 }$ 
D)  $2 x$ 
A)  $x$ 
B)  $2 x ^ { 2 }$ 
C)  $x ^ { 2 }$ 
D)  $2 x$

Question 15

Perform the indicated operation. Write answer with positive exponents:
 $\frac { n ^ { 0 } } { n ^ { 4 } }$

Accepted Answer

The answer of Perform the indicated operation. Write answer with...

Question 16

Perform the indicated operation. Write answer with positive exponents:
 $4 c \left( - 6 c ^ { 3 } \right)$

Accepted Answer

The answer of Perform the indicated operation. Write answer with...

Question 17

Write the quotient, using positive exponents: $\frac { y ^ { 2 } } { y ^ { - 1 } }$

Accepted Answer

A)  1/y⁵ 
B)  $y 5$ 
C)  1/y¹.⁵ 
D)  y 
A)  1/y⁵ 
B)  $y 5$ 
C)  1/y¹.⁵ 
D)  y

Question 18

Write the quotient, using positive exponents: $\frac { x ^ { 3 } } { x ^ { 12 } }$

Accepted Answer

A)  $x ^ { 9 }$ 
B)  $x ^ { \frac { 1 } { 4 } }$ 
C)  $x ^ { 4 }$ 
D)  $x ^ { \frac { 1 } { 9 } }$ 
A)  $x ^ { 9 }$ 
B)  $x ^ { \frac { 1 } { 4 } }$ 
C)  $x ^ { 4 }$ 
D)  $x ^ { \frac { 1 } { 9 } }$

Question 19

Write the product: $x ^{- 3} ( x ) \left( x ^ { 2 } \right)$

Accepted Answer

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

Question 20

Perform the multiplication: $4 x ^ { 3 } ( 7 x )$

Accepted Answer

A) $11 x ^ { 4 }$ 
B)  $11 x ^ { 3 }$ 
C)  $28 x ^ { 3 }$ 
D)  $28 x ^ { 4 }$ 
A) $11 x ^ { 4 }$ 
B)  $11 x ^ { 3 }$ 
C)  $28 x ^ { 3 }$ 
D)  $28 x ^ { 4 }$

Find the mistake in the following problem: $5 ^ { 4 } \times 5 ^ { 3 } = 25 ^ { 7 }$

Write the product: $y \left( y ^ { 5 } \right)$

Perform the indicated operation. Write answer with positive exponents: $\frac { 45 x ^ { 2 } } { 9 x ^ { 6 } }$

Express the following by using positive exponents: $5 ^ { - 3 }$

Write the auotient, using positive exponents: $\frac { y ^ { 6 } } { y }$

Write the quotient using positive exponents: $\frac { x ^ { 5 } } { x ^ { 2 } }$

Write the product using positive exponents: $x ^ { - 3 } ( x )$

Write an expression and simplify to find the area of the following:

Express the following by using positive exponents: $5 ^ { - 3 }$

Write $7^{ - 2}$ as an ordinary number.

Perform the indicated operation: $m \left( m ^ { 2 } \right)$

Write $2 ^ { - 4 }$ using a positive exponent.

Write the quotient using positive exponents: $\frac { x ^ { - 2 } } { x ^ { 6 } }$

Write the product: x(x)

Perform the indicated operation. Write answer with positive exponents: $\frac { n ^ { 0 } } { n ^ { 4 } }$

Perform the indicated operation. Write answer with positive exponents: $4 c \left( - 6 c ^ { 3 } \right)$

Write the quotient, using positive exponents: $\frac { y ^ { 2 } } { y ^ { - 1 } }$

Write the quotient, using positive exponents: $\frac { x ^ { 3 } } { x ^ { 12 } }$

Write the product: $x ^{- 3} ( x ) \left( x ^ { 2 } \right)$

Perform the multiplication: $4 x ^ { 3 } ( 7 x )$

Review of Basic Concepts

Review of Fractions

Percents

Measurement

Signed Numbers and Powers of 10

Statistics

Linear Equations and Inequalities

Formulas, Proportion, and Variation

Linear Equations, Functions, and Inequalities in Two Variables

Systems of Linear Equations

Roots and Radicals

Factoring

Rational Expressions, Equations, and Inequalities

Quadratic and Other Nonlinear Equations and Inequalities

Exponential and Logarithmic Equations

Geometry

Triangles

Right-Triangle Trigonometry

Trigonometry With Any Angle

Filters

Exam 11: Powers and Polynomials

Find the mistake in the following problem: 54×53=2575 ^ { 4 } \times 5 ^ { 3 } = 25 ^ { 7 }54×53=257

Write the product: y(y5)y \left( y ^ { 5 } \right)y(y5)

Perform the indicated operation. Write answer with positive exponents: 45x29x6\frac { 45 x ^ { 2 } } { 9 x ^ { 6 } }9x645x2​

Express the following by using positive exponents: 5−35 ^ { - 3 }5−3

Write the auotient, using positive exponents: y6y\frac { y ^ { 6 } } { y }yy6​

Write the quotient using positive exponents: x5x2\frac { x ^ { 5 } } { x ^ { 2 } }x2x5​

Write the product using positive exponents: x−3(x)x ^ { - 3 } ( x )x−3(x)

Write an expression and simplify to find the area of the following:

Express the following by using positive exponents: 5−35 ^ { - 3 }5−3

Write 7−27^{ - 2}7−2 as an ordinary number.

Perform the indicated operation: m(m2)m \left( m ^ { 2 } \right)m(m2)

Write 2−42 ^ { - 4 }2−4 using a positive exponent.

Write the quotient using positive exponents: x−2x6\frac { x ^ { - 2 } } { x ^ { 6 } }x6x−2​

Write the product: x(x)

Perform the indicated operation. Write answer with positive exponents: n0n4\frac { n ^ { 0 } } { n ^ { 4 } }n4n0​

Perform the indicated operation. Write answer with positive exponents: 4c(−6c3)4 c \left( - 6 c ^ { 3 } \right)4c(−6c3)

Write the quotient, using positive exponents: y2y−1\frac { y ^ { 2 } } { y ^ { - 1 } }y−1y2​

Write the quotient, using positive exponents: x3x12\frac { x ^ { 3 } } { x ^ { 12 } }x12x3​

Write the product: x−3(x)(x2)x ^{- 3} ( x ) \left( x ^ { 2 } \right)x−3(x)(x2)

Perform the multiplication: 4x3(7x)4 x ^ { 3 } ( 7 x )4x3(7x)

Review of Basic Concepts

Review of Fractions

Percents

Measurement

Signed Numbers and Powers of 10

Statistics

Linear Equations and Inequalities

Formulas, Proportion, and Variation

Linear Equations, Functions, and Inequalities in Two Variables

Systems of Linear Equations

Roots and Radicals

Factoring

Rational Expressions, Equations, and Inequalities

Quadratic and Other Nonlinear Equations and Inequalities

Exponential and Logarithmic Equations

Geometry

Triangles

Right-Triangle Trigonometry

Trigonometry With Any Angle

Filters

Find the mistake in the following problem: $5 ^ { 4 } \times 5 ^ { 3 } = 25 ^ { 7 }$

Write the product: $y \left( y ^ { 5 } \right)$

Perform the indicated operation. Write answer with positive exponents: $\frac { 45 x ^ { 2 } } { 9 x ^ { 6 } }$

Express the following by using positive exponents: $5 ^ { - 3 }$

Write the auotient, using positive exponents: $\frac { y ^ { 6 } } { y }$

Write the quotient using positive exponents: $\frac { x ^ { 5 } } { x ^ { 2 } }$

Write the product using positive exponents: $x ^ { - 3 } ( x )$

Express the following by using positive exponents: $5 ^ { - 3 }$

Write $7^{ - 2}$ as an ordinary number.

Perform the indicated operation: $m \left( m ^ { 2 } \right)$

Write $2 ^ { - 4 }$ using a positive exponent.

Write the quotient using positive exponents: $\frac { x ^ { - 2 } } { x ^ { 6 } }$

Perform the indicated operation. Write answer with positive exponents: $\frac { n ^ { 0 } } { n ^ { 4 } }$

Perform the indicated operation. Write answer with positive exponents: $4 c \left( - 6 c ^ { 3 } \right)$

Write the quotient, using positive exponents: $\frac { y ^ { 2 } } { y ^ { - 1 } }$

Write the quotient, using positive exponents: $\frac { x ^ { 3 } } { x ^ { 12 } }$

Write the product: $x ^{- 3} ( x ) \left( x ^ { 2 } \right)$

Perform the multiplication: $4 x ^ { 3 } ( 7 x )$