3.0*10^8/7.0*10^-7
You asked:
Evaluate the expression: \(\frac{3.0 \cdot {10}^{8}}{7.0} \cdot {10}^{-7}\)
MathBot Answer:
\[\frac{3.0 \cdot {10}^{8}}{7.0} \cdot {10}^{-7} = \frac{30}{7} = 4.\overline{285714}\]
\[\begin{aligned}\frac{3.0 \cdot {10}^{8}}{7.0} \cdot {10}^{-7}& = 3 \cdot 10^{8} \cdot \frac{1}{7} \cdot \frac{1}{10^{7}}\\& = 3 \cdot \frac{100000000}{7} \cdot \frac{1}{10^{7}}\\& = 3 \cdot \frac{100000000}{7} \cdot \frac{1}{10000000}\\& = \frac{300000000}{7} \cdot \frac{1}{10000000}\\& = \frac{30}{7}\end{aligned}\]