# How do you simplify 2^-2times2^6?

Use the rule for exponents: $\textcolor{red}{{x}^{a} \times {x}^{b} = {x}^{a + b}}$
${2}^{-} 2 \times {2}^{6} = {2}^{- 2 + 6} = {2}^{4} = 2 \times 2 \times 2 \times 2 = 16$