Power to a Power Exponent Rule

Simplify the following expression:

(2x³y)⁶

**HINT: Distribute the exponent to all terms inside the parenthesis**

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

Which shows the Power Rule used correctly? \left(ab\right)^5

Simplify the following expression:

(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

2n⁴ * 5n⁴

• 7n⁴

• 10n¹⁶

• 10n⁸

• none of the above

If (2^x)⁵=2¹⁵, what does x equal?

• x = 3

• x = 5

• x = 10

(5^2c^3)^5

• 10^5c^5

• 5^7c^8

• 5^10c^15

• 5^10/c^15

Simplify.

THIS IS PRODUCT RULE!

m⁵⋅m²

• m⁷

• m³

• m¹⁰

• m²

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add

• subtract

• multiply

• divide