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).

Tags

CCSS.8.EE.A.1

Front

Simplify: (x)(x)

Back

x^2

Front

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

Back

10x^4y^7

Tags

CCSS.HSA.APR.A.1

Front

Simplify the expression: x^4 (x^12)

Back

x^16

Tags

CCSS.HSA.APR.A.1

Front

Simplify: x^20 . x^10

Back

x^30

Tags

CCSS.8.EE.A.1

Front

Simplify: (v^5)(v^5)

Back

v^10

Tags

CCSS.8.EE.A.1

Front

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

Back

You add the exponents.

Tags

CCSS.8.EE.A.1

Front

If a^m = 5 and a^n = 3, what is a^(m+n)?

Back

a^(m+n) = 5 * 3 = 15.

Tags

CCSS.8.EE.A.1

Front

What is the result of x^0?

Back

x^0 = 1, for any x ≠ 0.

Tags

CCSS.8.EE.A.1

Front

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

Back

6x^5

Tags

CCSS.HSA.APR.A.1