Exponent Power and Product Rules

Simplify the expression.
x⁴ (x¹²)

• x³

• x⁴⁸

• x¹⁶

• x⁸

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

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

Simplify the following expression:

(7a²)(5a⁶b)²

• 35a¹⁴b²

• 175a¹²b²

• 175a¹⁴b²

• 35a¹⁴b

Simplify the following expression:

(-2r³p²m)³

• -8r⁹p⁶m³

• -8r⁹p⁶m

• -6r⁶p⁵m⁴

• -6r⁹p⁶m³

Simplify:  (5p⁹q³)(2pq⁷)

• 7p¹⁰q¹⁰

• 10p⁹q²¹

• 10p¹⁰q¹⁰

• 10p⁸q^-4

Simplify the following expression:

3x⁴ ⋅ 6x⁶

• 18x¹⁰

• 9x¹⁰

• 18x²⁴

• 9x²⁴

Simplify the following expression: 2x³y⁵ ⋅ 5xy²

• 10x⁴y⁷

• 7x⁴y⁷

• 10x³y¹⁰

• 7x³y¹⁰