Properties of Exponents

Front

Define the Product of Powers Property.

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the Power of a Power Property?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Tags

CCSS.8.EE.A.1

Front

Explain the Power of a Product Property.

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Tags

CCSS.8.EE.A.1

Front

What is the Quotient of Powers Property?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Tags

CCSS.8.EE.A.1

Front

Define the Zero Exponent Rule.

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Tags

CCSS.8.EE.A.1

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/a^n.

Tags

CCSS.8.EE.A.1

Front

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

Back

6x^5.

Front

Simplify: (5y^4)^3

Back

125y^12.

Tags

CCSS.HSA.APR.A.1

Front

Back

2x^3.

Front

Back

a^3b.