Question

Is the equations (4√8)-²⁴ • (√8)¹⁶ = 8-⁴⁸ True or false? Explain your reasoning.
(Keep the explanation simple. single sentence)

Answer 1

True, because simplifying the left side gives (4 * 8^(1/2))^(-24) * (8^(1/2))^(16) = 4^(-24) * 8^(-12) = (2^2)^(-24) * 8^(-12) = 2^(-48) * (2^3)^(-12) = 2^(-48) * 2^(-36) = 2^(-84) = 8^(-48).