Multiplying Powers with the Same Base

Front

What is the product of powers with the same base?

Back

When multiplying powers with the same base, add the exponents. For example, a^m * a^n = a^(m+n).

Tags

CCSS.8.EE.A.1

Front

Simplify: 3x^3 * 2x^8

Back

6x^11

Tags

CCSS.HSA.APR.A.1

Front

What happens when you raise a power to the zero exponent?

Back

Any non-zero number raised to the power of zero equals 1. For example, a^0 = 1.

Tags

CCSS.8.EE.A.1

Front

Simplify: -(-5m^4 * 5m^2)^0

Back

-1

Tags

CCSS.8.EE.A.1

Front

What is the result of multiplying two negative numbers?

Back

The product of two negative numbers is positive. For example, (-a) * (-b) = ab.

Tags

CCSS.7.NS.A.2A

Front

Simplify: x * x * x * x * x * x

Back

x^6

Front

What is the product of powers with the same base when the bases are negative?

Back

The same rule applies: add the exponents. For example, (-a)^m * (-a)^n = (-a)^(m+n).

Tags

CCSS.8.EE.A.1

Front

Simplify: (-5b^3)(-3b^6)

Back

15b^9

Front

What is the rule for multiplying powers of the same base?

Back

When multiplying powers with the same base, add the exponents.

Tags

CCSS.8.EE.A.1

Front

Simplify: 2 * 2^2 * 2^2

Back

2^5

Tags

CCSS.8.EE.A.1