Exponent_rules

Product Rule: x³ · x² = ?

Hint: Add exponents: 3 + 2 = 5

Quotient Rule: x⁷ / x³ = ?

Hint: Subtract exponents: 7 - 3 = 4

Power Rule: (x²)³ = ?

Hint: Multiply exponents: 2 × 3 = 6

Zero Exponent: x⁰ = ?

Hint: Any nonzero number raised to the 0 power is 1

Negative Exponent: x⁻² = ?

Hint: Move to denominator and make the exponent positive

Simplify: (2x)³

Hint: Raise both the coefficient and variable: 2³ · x³

Simplify: (x²y)³

Hint: Multiply each exponent by 3

Simplify: 3x² · 4x³

Hint: Multiply coefficients (3×4), add exponents (2+3)

Simplify: (x³)² / x²

Hint: Power rule first: x⁶, then quotient rule: 6 - 2 = 4

Simplify: 2⁻³

Hint: 2⁻³ = 1/2³ = 1/8