Question

$$\frac{4^{2}9}-1\frac{13}{15}}{2^{\frac{1}{5}+9}\times2^{\frac{1}{3}}}$$

Answer

$$2.8823037615171*10^17-6.3816579081181*10^75+73728$$

Solution


Simplify  \({4}^{29}\)  to  \(2.882304\times {10}^{17}\).
\[2.882304\times {10}^{17}-{113152}^{15}+9\times {2}^{13}\]
Simplify  \({113152}^{15}\)  to  \(6.381658\times {10}^{75}\).
\[2.882304\times {10}^{17}-6.381658\times {10}^{75}+9\times {2}^{13}\]
Simplify  \({2}^{13}\)  to  \(8192\).
\[2.882304\times {10}^{17}-6.381658\times {10}^{75}+9\times 8192\]
Simplify  \(9\times 8192\)  to  \(73728\).
\[2.882304\times {10}^{17}-6.381658\times {10}^{75}+73728\]