Product of Powers Property

Front

What is the Product of Powers Property?

Back

The Product of Powers Property states that when multiplying two powers with the same base, you can add the exponents. For example, a^m ⋅ a^n = a^(m+n).

Front

Simplify the expression (-7)⁴ ⋅ (-7)⁵

Back

(-7)⁹

Front

If a = 3, what is the value of 3² ⋅ 3³?

Back

3⁵ = 243

Front

What happens to the exponents when multiplying powers with the same base?

Back

You add the exponents.

Front

Simplify the expression x² ⋅ x⁴

Back

x⁶

Front

If b = 2, what is the value of 2³ ⋅ 2²?

Back

2⁵ = 32

Front

What is the result of (-2)² ⋅ (-2)³?

Back

(-2)⁵ = -32

Front

How do you express 5² ⋅ 5⁴ using the Product of Powers Property?

Back

5⁶

Front

What is the simplified form of a⁵ ⋅ a⁰?

Back

a⁵ (since a⁰ = 1)