Question

$$(4^{2}+2^{2})x; c(\frac{1}{2})^{3}$$

Answer

20*x;c*1/8

Solution


Simplify  \({4}^{2}\)  to  \(16\).
\[\begin{aligned}&(16+{2}^{2})x\\&c{(\frac{1}{2})}^{3}\end{aligned}\]
Simplify  \({2}^{2}\)  to  \(4\).
\[\begin{aligned}&(16+4)x\\&c{(\frac{1}{2})}^{3}\end{aligned}\]
Simplify  \(16+4\)  to  \(20\).
\[\begin{aligned}&20x\\&c{(\frac{1}{2})}^{3}\end{aligned}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\begin{aligned}&20x\\&c\times \frac{1}{{2}^{3}}\end{aligned}\]
Simplify  \({2}^{3}\)  to  \(8\).
\[\begin{aligned}&20x\\&c\times \frac{1}{8}\end{aligned}\]