Laws of Exponents

Front

What is the Product of Powers Rule?

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 Rule?

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 Rule?

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 Rule?

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.

Front

What is the Negative Exponent Rule?

Back

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

Front

Simplify: (x^3 * x^2)

Back

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

Front

Simplify: (2^3)^2

Back

2^(3*2) = 2^6 = 64.

Front

Simplify: (3^2 * 3^4)

Back

3^(2+4) = 3^6.

Front

Simplify: (5^4 / 5^2)

Back

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