Multiply and Power Rule

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

• When he multiplies exponents, he is supposed to add the base and the exponent

• When he multiplies exponents, he is supposed to multiply the base and keep the exponents

• When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

• None of the above

Simplify

c¹² ∗ c¹³

• c²⁵

• c¹⁵⁶

• c¹²³

• 2c²⁵

Simplify

(v⁵)(v⁵)

• v¹⁰

• v²⁵

• 2v¹⁰

• 2v²⁵

In order to multiply terms with the same base, we add their exponents.

• True

• False

Simplify

2x³ ∗ 4x⁵

• 8x⁸

• 6x⁸

• 6x¹⁵

• 8x¹⁵

Simplify

x ∗ x

• x²

• 2x

• 2x²

• x

Simplify

-4m² ∗ m²

• -4m⁴

• -3m⁴

• -3m²

Simplify

(9h)(-4h)

• -36h²

• -36h

• 5h

• 5h²

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