(8.6 x 10^8) / (2 x 10^-4)
You asked:
Evaluate the expression: \(\frac{8.6 \cdot {10}^{8}}{2 \cdot {10}^{-4}}\)
MathBot Answer:
\[\frac{8.6 \cdot {10}^{8}}{2 \cdot {10}^{-4}} = 4300000000000\]
\[\begin{aligned}\frac{8.6 \cdot {10}^{8}}{2 \cdot {10}^{-4}}& = \left(8 + \frac{6}{10}\right) \cdot 10^{8} \cdot \frac{1}{2 \cdot \frac{1}{10^{4}}}\\& = \left(8 + \frac{3}{5}\right) \cdot 10^{8} \cdot \frac{1}{2 \cdot \frac{1}{10^{4}}}\\& = \frac{43}{5} \cdot 10^{8} \cdot \frac{1}{2 \cdot \frac{1}{10^{4}}}\\& = \frac{43}{5} \cdot 100000000 \cdot \frac{1}{2 \cdot \frac{1}{10^{4}}}\\& = \frac{43}{5} \cdot 100000000 \cdot \frac{1}{\frac{2}{10000}}\\& = \frac{43}{5} \cdot 100000000 \cdot \frac{1}{\frac{1}{5000}}\\& = \frac{43}{5} \cdot 500000000000\\& = 4300000000000\end{aligned}\]