Question

Determine the value of the expression 4^3 × 4^-6 . A) -12 B)-1/12 C)64 D)1/64

Answer 1

$\bf 4^3-4^{-6}\implies 4^{3-6}\implies 4^{-3}\\\\ -----------------------------\\\\ now\quad recall\implies a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}}\\\\ -----------------------------\\\\ 4^{-3}\implies \cfrac{1}{4^3}\implies \cfrac{1}{64}$