Exponent Rules Flashcard

Front

What is the Product of Powers Rule?

Back

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

Front

What is the Power of a Power Rule?

Back

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

Front

What is the Power of a Product Rule?

Back

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

Front

What is the Quotient of Powers Rule?

Back

When dividing two powers with the same base, subtract the exponents. For example, 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. For example, a^0 = 1.

Front

What is the Negative Exponent Rule?

Back

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

Front

Simplify: 2^3 * 2^2

Back

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

Front

Simplify: (3^2)^3

Back

3^(2*3) = 3^6 = 729.

Front

Simplify: (xy)^3

Back

x^3 * y^3.

Front

Simplify: 5^4 / 5^2

Back

5^(4-2) = 5^2 = 25.