Law of Exponents Power of Product

Simplify the following expression:

x⁵ ⋅ x⁴

• x⁹

• x²⁰

• 2x⁹

• 9x

Simplify the following expression:

r⁶ ⋅ r² ⋅ r³

• r⁶²³

• r¹¹

• 11r

• r³⁶

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

• add

• subtract

• multiply

• divide

(r⁴)⁶

• 10r

• r¹⁰

• 24r

• r²⁴

Which of the following expressions is equivalent to (2x)³ ?

• (2x)(2x)(2x)

• 2(x)(x)(x)

• 2x + 2x + 2x

• 2x⋅3

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

• Multiply

• Add

• Divide

• Subtract

Solve using the product law of exponents

(5⁵)(5³)

• 25⁸

• 5¹⁵

• 25¹⁵

• 5⁸

Simplify the expression.
x⁴ (x¹²)

• x³

• x⁴⁸

• x¹⁶

• x⁸

Simplify (c⁵)(c³)(c³)

• c⁴⁵

• 3c¹¹

• c¹¹

• 3c⁴⁵

• y¹⁵
• y⁵⁰
• y²
• y⁵