Question

$$\frac{(5^{4})^{7}}{15^{9}}$$

Answer

$$(3.7252902984619*10^19)/38443359375$$

Solution


Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{{5}^{28}}{{15}^{9}}\]
Simplify  \({5}^{28}\)  to  \(3.725290\times {10}^{19}\).
\[\frac{3.725290\times {10}^{19}}{{15}^{9}}\]
Simplify  \({15}^{9}\)  to  \(38443359375\).
\[\frac{3.725290\times {10}^{19}}{38443359375}\]

Decimal Form: 969033497.33907