(700-(0.1x10^12Wm^-3))(0.0004m)^2/62.52Wm^-1

asked by guest
on Nov 13, 2024 at 1:41 am



You asked:

Evaluate the expression: \(\frac{\left(700 - 0.1 \cdot {10}^{12} \cdot W \cdot {m}^{-3}\right) \cdot {\left( 0.0004 m \right)}^{2}}{62.52 W \cdot {m}^{-1}}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{\left(700 - 0.1 \cdot {10}^{12} \cdot W \cdot {m}^{-3}\right) \cdot {\left( 0.0004 m \right)}^{2}}{62.52 W \cdot {m}^{-1}} = \frac{m^{3} \left(- \frac{100000000000 W}{m^{3}} + 700\right)}{390750000 W} \)

Expanded

\[\frac{\left(700 - 0.1 \cdot {10}^{12} \cdot W \cdot {m}^{-3}\right) \cdot {\left( 0.0004 m \right)}^{2}}{62.52 W \cdot {m}^{-1}} = - \frac{400000}{1563} + \frac{7 m^{3}}{3907500 W}\]

Factored

\[\frac{\left(700 - 0.1 \cdot {10}^{12} \cdot W \cdot {m}^{-3}\right) \cdot {\left( 0.0004 m \right)}^{2}}{62.52 W \cdot {m}^{-1}} = - \frac{1000000000 W - 7 m^{3}}{3907500 W}\]

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