Solving Multiplication Law of Exponents

Salma and Zayn are learning about the properties of exponents in their math class. What is the rule they should follow when they raise a power to another power?

• When they raise a power to another power, they should keep the base the same and add the exponents

• When they raise a power to another power, they should keep the base the same and subtract the exponents

• When they raise a power to another power, they should keep the base the same and multiply the exponents

• When they raise a power to another power, they should raise each factor to the exponent

Rewrite the expression as a power.
 (2⁴)(2⁵)

• 2²⁰

• 4⁹

• 4²⁰

• 2⁹

(x¹⁴)³

• x¹⁷

• x⁴²

• x¹¹

• 3x¹⁴

(2⁸)²

• 2¹⁶

• 2¹⁰

• 2⁶

• 2⁴

Simplify: (3x²)³

• 27x⁶

• 9x⁶

• 3x⁶

• 9x⁵

Simplify:
(5ab²)²

• 25a²b⁴

• 10a²b⁴

• 5a²b⁴

• 25ab²

-3g⁵ ⋅ 4g⁶

• -7g¹¹

• 12g³⁰

• -7g³⁰

• -12g¹¹

(-4x⁴y²z³)(7x²y)

• 28x⁸y⁴z³

• 11x⁶y³z³

• -28x⁶y³z³

• 3x⁶y³z³

SIMPLIFY
(5x²y)³ (x³y²)³

• 125x¹⁵y⁹

• 15x¹¹y⁸

• Gobble Gobble

• 15x²y³

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

• (2x)(2x)(2x)

• 2(x)(x)(x)

• 2x + 2x + 2x

• 2x⋅3