Product Rule Exponents

Front

What is the Product Rule for Exponents?

Back

The Product Rule states that when multiplying two expressions with the same base, you add their exponents: a^m * a^n = a^(m+n).

Front

Simplify (v^5)(v^5)

Back

v^10

Front

Simplify (6x^2)(-3x^5)

Back

-18x^7

Front

Simplify 2x^3y^5 ⋅ 5xy^2

Back

10x^4y^7

Front

Simplify x^20 . x^10

Back

x^30

Front

Simplify (-7y^2)(5y^4)

Back

-35y^6

Front

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

Back

You add the exponents.

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 (x^3)(x^2)?

Back

x^5

Front

What is the result of (2a^4)(3a^3)?

Back

6a^7