Question

$$49\times2^{-3}; 7^{3}\times10\times2^{-5}$$

Answer

$$49*2^-3;7^3*10*1/32$$

Solution


Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\begin{aligned}&49\times {2}^{-3}\\&{7}^{3}\times 10\times \frac{1}{{2}^{5}}\end{aligned}\]
Simplify  \({2}^{5}\)  to  \(32\).
\[\begin{aligned}&49\times {2}^{-3}\\&{7}^{3}\times 10\times \frac{1}{32}\end{aligned}\]