Exponent laws: power of a power

Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.

Learn it Power of a power: multiply the exponents, $(x^a)^b = x^{ab}$. A power of a product or fraction applies to every factor, including the number in front.

Example: $(-2x^3y)^4$

$(-2)^4 = 16$.
$(x^3)^4 = x^{12}$, $y^4$.
Answer: $16x^{12}y^4$.

Loading questions…