Exponents

Exponent Rules:

1. Product Rule

When multiplying terms with the same base, add exponents.

x² * x³ = x⁵

2. Quotient Rule

When dividing terms with the same base, subtract exponents.

x⁵ / x²= x³

3. Power Rule

When you are raising a power to a power, multiply the exponents.

(x³)⁴ = x¹²

4. Zero Exponent Rule

^{Any term or number raised to a power of zero is 1.}

( 27x)⁰ = 1

5. Negative Exponent Rule

^{Any term that has a negative exponent needs to be rewritten as the reciprocal of the term to eliminate the negative exponent.}

x^-2 = 1/ x²