Evaluate
\frac{8100}{157}\approx 51.592356688
Factor
\frac{2 ^ {2} \cdot 3 ^ {4} \cdot 5 ^ {2}}{157} = 51\frac{93}{157} = 51.59235668789809
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\left(\frac{18}{2\times 3.14}\right)^{2}\times 3.14\times 2
Express \frac{\frac{18}{2}}{3.14} as a single fraction.
\left(\frac{18}{6.28}\right)^{2}\times 3.14\times 2
Multiply 2 and 3.14 to get 6.28.
\left(\frac{1800}{628}\right)^{2}\times 3.14\times 2
Expand \frac{18}{6.28} by multiplying both numerator and the denominator by 100.
\left(\frac{450}{157}\right)^{2}\times 3.14\times 2
Reduce the fraction \frac{1800}{628} to lowest terms by extracting and canceling out 4.
\frac{202500}{24649}\times 3.14\times 2
Calculate \frac{450}{157} to the power of 2 and get \frac{202500}{24649}.
\frac{4050}{157}\times 2
Multiply \frac{202500}{24649} and 3.14 to get \frac{4050}{157}.
\frac{8100}{157}
Multiply \frac{4050}{157} and 2 to get \frac{8100}{157}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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