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 (where a ≠ 0).

Front

What is the Negative Exponent Rule?

Back

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

Front

What is the Power of a Quotient Rule?

Back

When raising a quotient to a power, apply the exponent to both the numerator and the denominator: (a/b)^n = a^n / b^n.

Front

Simplify: (x^3 * x^2)

Back

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

Front

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

Back

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

Front

Simplify: (3^2)^3

Back

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