Power Rules of Exponents

n⋅n⁴⋅n⁵

• n¹⁰

• n⁴⁰

• n¹³

• n²²

Simplify

• x⁴/3

• 3x¹⁰

• 36x¹⁰

• 3x⁴

Evaluate the expression using the quotient rule.

• 2^14 z^13

• 2^2/z^7

• 2^14/ z^7

• 2^2 z^7

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

• add

• subtract

• multiply

• divide

Simplify the following expression:

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

Simplify the following expression:

(b³)⁸

• b¹¹

• 8b³

• b²⁴

• 24b

Simplify the following expression:

(3y⁴)²

• 9y⁸

• 9y⁶

• 6y⁸

• 6y⁶

Simplify the following expression:

(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

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

Differentiate y= 12x^-2

• 24x^-1

• -24x^-3

• -24x^-1

• 6x^-3