Product and Power of Powers

Simplify: (3x²)³

• 27x⁶

• 9x⁶

• 3x⁶

• 9x⁵

Simplify:
(5ab²)²

• 25a²b⁴

• 10a²b⁴

• 5a²b⁴

• 25ab²

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

• add

• subtract

• multiply

• divide

Simplify (-3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• -9x⁸y¹⁰

Simplify:
(7y⁴)²

• 7y⁶

• 14y⁸

• 14y⁶

• 49y⁸

Simplify:
(x³)²

• x⁵

• x

• x⁶

• 3x²

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

• When he multiplies exponents, he is supposed to add the base and the exponent

• When he multiplies exponents, he is supposed to multiply the base and keep the exponents

• When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

• None of the above

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

Example: 2⁶ ⋅ 2⁴

• add

• subtract

• multiply

• divide

Simplify the expression.

• 7⁶

• 7^-5

• 1/7⁵

• 7⁵

Simplify

2x³ ∗ 4x⁵

• 8x⁸

• 6x⁸

• 6x¹⁵

• 8x¹⁵