Quiz about Exponent Properties

Question 1

Which of the following exponent properties is shown?

Accepted Answer

Product of Powers

Answer

Power of a Power

Answer

Power of a Product

Answer

Quotient of Powers

Question 2

Which of the following exponent properties is shown?

Accepted Answer

Quotient of Powers

Answer

Power of a Power

Answer

Product of Powers

Answer

Power of a Quotient

Question 3

Which of the following exponent properties is shown?

Accepted Answer

Zero Exponent

Answer

Negative Exponent

Answer

Power of a Power

Answer

Product of Powers

Question 4

Which of the following exponent properties is shown?

Accepted Answer

Negative Exponent

Answer

Zero Exponent

Answer

Power of a Power

Answer

Quotient of Powers

Question 5

Which of the following exponent properties is shown?

Accepted Answer

Power of a Power

Answer

Power of a Product

Answer

Power of a Quotient

Answer

Product of Powers

Question 6

Which of the following exponent properties is shown?

Accepted Answer

Power of a Product

Answer

Product of Powers

Answer

Power of a Power

Answer

Power of a Quotient

Question 7

Which of the following exponent properties is shown?

Accepted Answer

Power of a Quotient

Answer

Power of a Product

Answer

Power of a Power

Answer

Quotient of Powers

Question 8

Fill in the blank. When multiplying powers with the same base, keep the base and ________ the exponents.

Accepted Answer

Add

Answer

Subtract

Answer

Multiply

Answer

Divide

Question 9

Fill in the blank. When dividing powers with the same base, keep the base and ________ the exponents.

Accepted Answer

Subtract

Answer

Add

Answer

Multiply

Answer

Divide

Question 10

When raising a power to a power, keep the base and _________ the exponents.

Accepted Answer

Multiply

Answer

Add

Answer

Subtract

Answer

Divide

Question 11

Which of the following represents the Product of Powers rule?

Accepted Answer

$$a^n\cdot a^m=a^{\left(n+m\right)}$$

Answer

$$\left(xy\right)^a=x^ay^a$$

Answer

$$\left(a^m\right)^n=a^{m\cdot n}$$

Answer

$$\frac{a^m}{a^n}=a^{\left(m-n\right)}$$

Question 12

Which of the following represents the Quotient of Powers rule?

Accepted Answer

$$\frac{a^m}{a^n}=a^{\left(m-n\right)}$$

Answer

$$\left(xy\right)^a=x^ay^a$$

Answer

$$\left(a^m\right)^n=a^{m\cdot n}$$

Answer

$$a^n\cdot a^m=a^{\left(n+m\right)}$$

Question 13

Which of the following represents the Power of a Power rule?

Accepted Answer

$$\left(a^m\right)^n=a^{m\cdot n}$$

Answer

$$\left(xy\right)^a=x^ay^a$$

Answer

$$\frac{a^m}{a^n}=a^{\left(m-n\right)}$$

Answer

$$a^n\cdot a^m=a^{\left(n+m\right)}$$

Question 14

Which of the following represents the Power of a Product rule?

Accepted Answer

$$\left(xy\right)^a=x^ay^a$$

Answer

$$\left(a^m\right)^n=a^{m\cdot n}$$

Answer

$$\frac{a^m}{a^n}=a^{\left(m-n\right)}$$

Answer

$$a^n\cdot a^m=a^{\left(n+m\right)}$$

Question 15

Which of the following represents the Power of a Quotient rule?

Accepted Answer

$$\left(\frac{x}{y}\right)^a=\frac{x^a}{y^a}$$

Answer

$$\left(xy\right)^a=x^ay^a$$

Answer

$$\frac{a^m}{a^n}=a^{\left(m-n\right)}$$

Answer

$$a^n\cdot a^m=a^{\left(n+m\right)}$$

Question 16

Which of the following properties was used to simplify this expression?: $$x^3\cdot x^7=x^{10}$$

Accepted Answer

Product of Powers

Answer

Quotient of Powers

Answer

Power of a Product

Answer

Power of a Power

Question 17

Which of the following properties was used to simplify this expression?: $$\frac{x^{14}}{x^{11}}=x^3$$

Accepted Answer

Quotient of Powers

Answer

Product of Powers

Answer

Power of a Product

Answer

Power of a Power

Question 18

Which of the following properties was used to simplify this expression?: $$\left(x^3\right)^2=x^6$$

Accepted Answer

Power of a Power

Answer

Quotient of Powers

Answer

Product of Powers

Answer

Power of a Product

Question 19

Which of the following properties was used to simplify this expression?: $$\left(4xy\right)^3=4^3x^3y^3$$

Accepted Answer

Power of a Product

Answer

Quotient of Powers

Answer

Product of Powers

Answer

Power of a Power

Question 20

Which of the following properties would you use to solve the problem: $$\left(\frac{a}{b}\right)^2=\frac{a^2}{b^2}$$

Accepted Answer

Power of a Quotient

Answer

Quotient of Powers

Answer

Product of Powers

Answer

Power of a Product

Question 21

Which of the following properties was used to simplify this expression?: $$y^{-5}=\frac{1}{y^5}$$

Accepted Answer

Negative Exponent

Answer

Quotient of Powers

Answer

Power of a Quotient

Answer

Zero Exponent

Question 22

Any nonzero number raised to the power of 0 is _____ .

Accepted Answer

1

Answer

Itself

Answer

0

Answer

-1

Exponent Properties

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