Product Power Rules

Front

What is the Product Power Rule?

Back

The Product Power Rule states that when multiplying two powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

Simplify the expression: 5^2 ⋅ 5^1 = ?

Back

5^3

Front

Simplify the expression: x^5 * x^4 = ?

Back

x^9

Front

What happens when you multiply powers with the same base?

Back

You add the exponents.

Front

Simplify the expression: (4st)(-3s^3)(t^5) = ?

Back

-12s^4t^6

Front

What is the result of (x^5)^4?

Back

x^20

Front

Simplify the expression: (2a^2b^4z)(6a^3b^2z^5) = ?

Back

12a^5b^6z^6

Front

What is the power of a product rule?

Back

The power of a product rule states that (ab)^n = a^n * b^n.

Front

If a^m = 2 and a^n = 3, what is a^(m+n)?

Back

a^(m+n) = 2 * 3 = 6.

Front

What is the result of multiplying two different bases?

Back

You cannot combine the bases; you keep them separate.