Exponent Properties 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).

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 powers 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: (x^3)(x^2)

Back

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

Front

Simplify: (2^4)(2^3)

Back

2^(4+3) = 2^7 = 128.

Front

Simplify: (3x^2)^3

Back

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

Front

Simplify: (5a^2b)(3ab^3)

Back

(5*3)(a^(2+1))(b^(1+3)) = 15a^3b^4.