((9.0*10^(9))(+5)(-3))/(30,000^(2))

asked by guest
on Jan 13, 2025 at 8:01 am



You asked:

Evaluate the expression: \(\frac{9.0 \cdot {10}^{9} \cdot 5 \cdot -3}{{30,000}^{2}}\)

MathBot Answer:

\[\frac{9.0 \cdot {10}^{9} \cdot 5 \cdot -3}{{30,000}^{2}} = -150\]

\[\begin{aligned}\frac{9.0 \cdot {10}^{9} \cdot 5 \cdot -3}{{30,000}^{2}}& = 9 \cdot 10^{9} \cdot 5 \cdot -3 \cdot \frac{1}{30000^{2}}\\& = 9 \cdot 1000000000 \cdot 5 \cdot -3 \cdot \frac{1}{30000^{2}}\\& = 9 \cdot 1000000000 \cdot 5 \cdot \frac{-3}{900000000}\\& = 9 \cdot 1000000000 \cdot \frac{-5}{300000000}\\& = 9000000000 \cdot \frac{-5}{300000000}\\& = \frac{-45000000000}{300000000}\\& = -150\end{aligned}\]

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