15 × 10^2 ÷ (3 × 10^-2)

asked by guest
on Nov 19, 2024 at 2:31 am



You asked:

Evaluate the expression: \(\frac{15 \cdot {10}^{2}}{3 \cdot {10}^{-2}}\)

MathBot Answer:

\[\frac{15 \cdot {10}^{2}}{3 \cdot {10}^{-2}} = 50000\]

\[\begin{aligned}\frac{15 \cdot {10}^{2}}{3 \cdot {10}^{-2}}& = 15 \cdot 10^{2} \cdot \frac{1}{3 \cdot \frac{1}{10^{2}}}\\& = 15 \cdot 100 \cdot \frac{1}{3 \cdot \frac{1}{10^{2}}}\\& = 15 \cdot 100 \cdot \frac{1}{\frac{3}{100}}\\& = 15 \cdot \frac{10000}{3}\\& = 50000\end{aligned}\]

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