( 10^4/10 * 100^8/10 ) / 100
You asked:
Evaluate the expression: \(\frac{\frac{\frac{{10}^{4}}{10} \cdot {100}^{8}}{10}}{100}\)
MathBot Answer:
\[\frac{\frac{\frac{{10}^{4}}{10} \cdot {100}^{8}}{10}}{100} = 10000000000000000\]
\[\begin{aligned}\frac{\frac{\frac{{10}^{4}}{10} \cdot {100}^{8}}{10}}{100}& = 10^{4} \cdot \frac{1}{10} \cdot 100^{8} \cdot \frac{1}{10} \cdot \frac{1}{100}\\& = \frac{10000}{10} \cdot 100^{8} \cdot \frac{1}{10} \cdot \frac{1}{100}\\& = \frac{10000}{10} \cdot \frac{10000000000000000}{10} \cdot \frac{1}{100}\\& = \frac{10000}{10} \cdot \frac{10000000000000000}{1000}\\& = 1000 \cdot \frac{10000000000000000}{1000}\\& = \frac{10000000000000000000}{1000}\\& = 10000000000000000\end{aligned}\]