Question

$$\frac{ \frac{ ( { \left(4) \right) }^{ 3 } }{ (16) } }{ \frac{ { 8 }^{ 2 } }{ 32 } }$$

Answer

2

Solution


Remove parentheses.
\[\frac{\frac{{4}^{3}}{16}}{\frac{{8}^{2}}{32}}\]
Simplify  \({4}^{3}\)  to  \(64\).
\[\frac{\frac{64}{16}}{\frac{{8}^{2}}{32}}\]
Simplify  \(\frac{64}{16}\)  to  \(4\).
\[\frac{4}{\frac{{8}^{2}}{32}}\]
Simplify  \({8}^{2}\)  to  \(64\).
\[\frac{4}{\frac{64}{32}}\]
Simplify  \(\frac{64}{32}\)  to  \(2\).
\[\frac{4}{2}\]
Simplify.
\[2\]