Simplifying Monomials Using Laws of Exponents

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

• add

• subtract

• multiply

• divide

Which option follows the product of a power rule for exponents with the same base?

• (9²)(9¹) = 9³

• (9²)(9¹) = 9¹

• (9²)(9¹) = 9²

Simplify

2x³ ∗ 4x⁵

• 8x⁸

• 6x⁸

• 6x¹⁵

• 8x¹⁵

Division Law states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

18h¹⁰÷ 6h⁸ 

• 3h¹⁸

• 3h⁸⁰

• 2h²

• 3h²

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³

• 2²/z⁷

• 2¹⁴/ z⁷

• 2² z⁷

Simplify.

• y⁶⁰

• ¹/_y¹⁶

• y^-16

• y⁴

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

• add

• subtract

• multiply

• divide

Simplify: (2x³y⁵)³

• 8x⁹y¹⁵

• 6x⁹y¹⁵

• 2x⁹y¹⁵

• 8x⁶y⁸