Question

Express 4^-3 as a positive power with base 2

Answer 1

$4^{-3}\\\\= ((2)^2)^{-3}\\\\\text{-- because 2^2 = 4 }\\\\\text{Using the properties of exponents,}\\\\2^{-6}\\\\\text{Since a^{-1} = \dfrac{1}{a} }\\\\\\\textbf{Answer = \bold{\dfrac{1}{2^{6}}} }$