Exponent Laws Practice

Exponent Laws Practice

Make sure you have these in your notes!

Multiple Choice

According to exponent rules, when we divide the expressions we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

According to exponent rules, when we multiply powers we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

Anything raised to a power of zero is always:

• 0

• 1

• itself

• negative

Multiple Choice

Which expression is equivalent to the given?

Multiple Choice

Simplify the following:
(x²y)⁵

• x⁷y⁵
• x²y⁵
• x¹⁰y⁵
• x⁵y⁵

Multiple Choice

Simplify (-3x⁵)³

• 27x¹⁵

• -27x¹⁵

• -27x⁸

• -3x⁸

• -3x¹⁵

Multiple Choice

Simplify the following: a⁰ + a⁰

• a⁰

• 2a⁰

• 1

• 2

Multiple Choice

Evaluate the expression.

Multiple Choice

• x^-7

• x⁷

• 1/x⁷

• x^-9

Multiple Choice

Simplify the following:

(x³)⁶

• x⁹

• x¹⁸

• x⁶

• x³

Multiple Choice

8⁷ ⁄ 8²

• 8⁵

• 8⁹

• 8¹⁴

• 1⁵

Multiple Choice

Simplify the expression.

• 6x²y

• -2x²y

• -6x²y

• -6x²y⁵

• 6x⁷y⁶

Multiple Select

Select all the expressions that simplify to 12a⁸

• (6a²)(2a⁴)

• (-3a⁵)(-4a³)

• (2a⁴)(6a⁴)

• (6a⁴)²

Multiple Choice

Simplify the expression.

• 9x⁶yz

• x⁶yz

• 3x⁵y²z

• 3x⁶yz

• 9x⁵y²z

Multiple Choice

Simplify the expression.

• 8ac

• -24abc

• -8ac

• -8abc

• 8a⁹b⁶c³

Multiple Select

Select all the expressions that simplify to 4x⁴y⁷

• (2xy³)(2x³y⁴)

• (4x²y⁶)(3x²y)

• (2x²y)² ⋅ (y⁵)

Multiple Choice

Simplify (-3x⁵)³

• 27x¹⁵

• -27x¹⁵

• -27x⁸

• -3x⁸

• -3x¹⁵

Multiple Choice

Simplify (4x⁵)(3x²)

• 12x⁷

• 12x¹⁰

• 7x⁷

• 12x³

• 7x¹⁰