Properties of Powers

Which relationship expresses the rule for the power of a power?

Which relationship expresses the rule for the power of a product?

Which relationship expresses the rule for the product of powers?

Simplify the expression using the properties of exponents.

Use the properties of exponents to write an equivalent expression to 
(4²)³

• 4⁶

• 4⁵

• 16⁵

• 4²³

Use the properties of exponents to write the expression as a single power: (8⁸)(8⁶) =

• 8⁴⁸

• 8¹⁴

• 8²

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

(2x⁷)³

• 6x²¹

• 8x²¹

• 6x¹⁰

• 8x¹⁰

Mathematical Equivalence

ON

(x^-3)²

• x⁶

• 1/x⁵

• 1/x⁶

• x⁵