REVIEW for Properties of Exponents Test

Front

What is the Product of Powers Property?

Back

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

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).

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.

Front

What is the Quotient of Powers Property?

Back

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

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).

Front

What is the Negative Exponent Rule?

Back

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

Front

Simplify: (2a^2b^4z)(6a^3b^2z^5)

Back

12a^5b^6z^6.

Front

Simplify: (12x^3y)^2

Back

144x^6y^2.

Front

Simplify: \frac{18y^{6}+9y^{4}-12y^2}{3y^2}

Back

6y^{4}+3y^2-4.

Front

Simplify: \frac{x^{-7}}{x^4}

Back

\frac{1}{x^{11}}.