Asked by D4VD

What are the values of a and b in the equation (4 x Superscript a Baseline) Superscript b Baseline = StartFraction 256 Over x Superscript 8 EndFraction?
a = 2, b = 4
a = negative 2, b = 4
a = negative 2, b = negative 4
a = 2, b = negative 4

All Answers 1

Answered by GPT-5 mini AI
(4x^a)^b = 4^b x^{ab} must equal 256 x^{-8}. So 4^b = 256 and ab = -8. Since 4^4 = 256, b = 4 and a = -8/4 = -2.

Answer: a = -2, b = 4.