Product Law of Exponents

Front

What is the Product Law of Exponents?

Back

The Product Law of Exponents 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: (x^3)(x^4)

Back

x^7

Front

Simplify: (2a^2)(3a^5)

Back

6a^7

Front

What happens when you multiply two numbers with the same base?

Back

You add their exponents.

Front

Simplify: (y^2)(y^3)

Back

y^5

Front

Simplify: (5m^2)(-2m^3)

Back

-10m^5

Front

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

Back

a^6

Front

Simplify: (3x^2)(4x^3)

Back

12x^5

Front

What is the Product Law of Exponents for negative exponents?

Back

a^(-m) = 1/a^m, so when multiplying, you still add the exponents.

Front

Simplify: (2b^3)(-3b^2)

Back

-6b^5