Laws of Exponents Product Rule

Solve using the product law of exponents

(5⁵)(5³)

• 25⁸

• 5¹⁵

• 25¹⁵

• 5⁸

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

• Multiply

• Add

• Divide

• Subtract

Simplify the expression.
x⁴ (x¹²)

• x³

• x⁴⁸

• x¹⁶

• x⁸

Simplify (c⁵)(c³)(c³)

• c⁴⁵

• 3c¹¹

• c¹¹

• 3c⁴⁵

Simplify the following expression:

r⁶ ⋅ r² ⋅ r³

• r⁶²³

• r¹¹

• 11r

• r³⁶

Simplify the following expression:

3x⁴ ⋅ 9x⁶

• 27x¹⁰

• 9x¹⁰

• 27x²⁴

• 9x²⁴

Simplify the following expression:

x⁵ ⋅ x⁴

• x⁹

• x²⁰

• 2x⁹

• 9x

According to exponent rules, when we multiply powers we _______ the exponents.

• add

• subtract

• multiply

• divide

Simplify
(-2c²)³ (-2cd²)²

• 32c¹²d⁴

• -24c⁸d⁴

• 4c¹²d⁴

• -32c⁸d⁴

The product rule of exponents states that when multiplying two powers that have the same base, you add the exponents.

• True

• False