Product Rule of Exponents

Front

What is the Product Rule of Exponents?

Back

The Product Rule of Exponents states that when multiplying two expressions with the same base, you add their exponents. For example, a^m ⋅ a^n = a^(m+n).

Front

Simplify the expression: 3x^2 ⋅ x^2 = ?

Back

3x^4

Front

Identify the BASE in the expression: 2^3 = 8.

Back

The base is 2.

Front

Simplify the expression: 2x^3y^5 ⋅ 5xy^2 = ?

Back

10x^4y^7

Front

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

Back

5^3

Front

Simplify the expression: 3x^4 ⋅ 6x^6 = ?

Back

18x^10

Front

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

Back

You add the exponents.

Front

If a^m = 5 and a^n = 2, what is a^(m+n)?

Back

a^(m+n) = 10.

Front

What is the result of 7^3 ⋅ 7^2?

Back

7^5.

Front

If x^4 ⋅ x^3 = ?

Back

x^7.