Power and Product to a Power

Simplify the following expression:

r⁶ ⋅ r² ⋅ r³

• r⁶²³

• r¹¹

• 11r

• r³⁶

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

• add

• subtract

• multiply

• divide

Which of the following expressions is equivalent to (2x)³ ?

• (2x)(2x)(2x)

• 2(x)(x)(x)

• 2x + 2x + 2x

• 2x⋅3

Simplify (-3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• -9x⁸y¹⁰

• 2

• 8

• 4

• 1

The Product of Powers Property says when the base is the same and the exponent is different you should ________________________

• add the bases

• multiply the bases

• add the exponents

• multiply the exponents

10⁵ x  10⁷

• 10²

• 10³

• 10¹²

• 10¹³

y¹²  x  y¹⁰

• y²

• y²²

• y²⁰

• y¹²⁰

Simplify: (3x²)³

• 27x⁶

• 9x⁶

• 3x⁶

• 9x⁵

Simplify:
(5ab²)²

• 25a²b⁴

• 10a²b⁴

• 5a²b⁴

• 25ab²