Properties of Exponent Practice

Front

Simplify: (5ab²)²

Back

25a²b⁴

Front

Simplify the expression: y¹⁵

Back

y⁵

Front

Simplify: (2x³y)⁶

Back

64x¹⁸y⁶

Front

Simplify: 9⁷ • 9⁹

Back

9¹⁶

Front

Simplify: (8y³)⁶

Back

8⁶y¹⁸

Front

Define the Product of Powers Property.

Back

When multiplying two powers with the same base, add the exponents: a^m • a^n = a^(m+n).

Front

Define the Power of a Power Property.

Back

When raising a power to another power, multiply the exponents: (a^m)ⁿ = a^(m•n).

Front

Define the Power of a Product Property.

Back

When raising a product to a power, apply the exponent to each factor: (ab)ⁿ = aⁿbⁿ.

Front

Define the Zero Exponent Rule.

Back

Any non-zero number raised to the power of zero equals one: a⁰ = 1.

Front

Define the Negative Exponent Rule.

Back

A negative exponent indicates the reciprocal: a⁻n = 1/aⁿ.