Rules of Exponents with Variables

Simplify
(-7y²)(5y⁴)

• -35y⁶

• -2y⁶

• -35y⁸

• -2y⁸

Simplify:

• 4x⁸

• 4x²

• 4x¹⁴

• 2.5x²

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³

• 2²/z⁷

• 2¹⁴/ z⁷

• 2² z⁷

Simplify the expression:

(-3a⁵)(-9a⁴)

• -12a²⁰

• 27a⁹

• 27a²⁰

• 12a

x⁶ / x²

• x⁴

• x¹²

• x³

• x⁸

In order to simplify exponents, the bases have to be the same in order to combine variables using properties of exponents.

• True 

• False

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

• add

• subtract

• multiply

• divide

(5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

m ⋅ m⁵ ⋅ m⁶

• m³⁰

• m¹²

• 12m

• mm¹¹

3x⁴ * 6x⁶

• 18x¹⁰

• 18x²⁴

• 9x¹⁰

• 9x²⁴