6*10^3/1.5*10^2
You asked:
Evaluate the expression: \(\frac{6 \cdot {10}^{3}}{1.5} \cdot {10}^{2}\)
MathBot Answer:
\[\frac{6 \cdot {10}^{3}}{1.5} \cdot {10}^{2} = 400000\]
\[\begin{aligned}\frac{6 \cdot {10}^{3}}{1.5} \cdot {10}^{2}& = 6 \cdot 10^{3} \cdot \frac{1}{1 + \frac{5}{10}} \cdot 10^{2}\\& = 6 \cdot 1000 \cdot \frac{1}{1 + \frac{5}{10}} \cdot 10^{2}\\& = 6 \cdot 1000 \cdot \frac{1}{1 + \frac{1}{2}} \cdot 10^{2}\\& = 6 \cdot 1000 \cdot \frac{1}{\frac{3}{2}} \cdot 10^{2}\\& = 6 \cdot 1000 \cdot \frac{2}{3} \cdot 10^{2}\\& = 6 \cdot 1000 \cdot \frac{2}{3} \cdot 100\\& = 6000 \cdot \frac{2}{3} \cdot 100\\& = 4000 \cdot 100\\& = 400000\end{aligned}\]