Rational Powers, Radicals and Power Rules

(-4³)²

• -4⁶

• -4⁵

• -4

• -4⁻¹

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

• add

• subtract

• multiply

• divide

Simplify the following expression:

(b³)⁸

• b¹¹

• 8b³

• b²⁴

• 24b

Simplify the following expression:

(3y⁴)²

• 9y⁸

• 9y⁶

• 6y⁸

• 6y⁶

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

Simplify the following expression:

(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

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

Simplify the expression.

THIS IS QUOTIENT RULE!

• y¹⁵

• y⁵⁰

• y²

• y⁵

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