Properties of Exponents Review

Front

What is 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

What is 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

What is the Zero Exponent Rule?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n) (where a ≠ 0).

Tags

CCSS.8.EE.A.1

Front

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

Back

x^(3+4) = x^7.

Front

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

Back

2^(3+2) = 2^5 = 32.

Tags

CCSS.8.EE.A.1

Front

Simplify: (3x^2)^3

Back

3^3 * (x^2)^3 = 27x^6.

Tags

CCSS.HSA.APR.A.1

Front

Simplify: (a^5 / a^2)

Back

a^(5-2) = a^3.

Tags

CCSS.8.EE.A.1