Evaluate
\frac{343}{8m^{6}}
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\frac{343}{8m^{6}}
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\left(\frac{6+1}{2}m^{-2}\right)^{3}
Multiply 3 and 2 to get 6.
\left(\frac{7}{2}m^{-2}\right)^{3}
Add 6 and 1 to get 7.
\left(\frac{7}{2}\right)^{3}\left(m^{-2}\right)^{3}
Expand \left(\frac{7}{2}m^{-2}\right)^{3}.
\left(\frac{7}{2}\right)^{3}m^{-6}
To raise a power to another power, multiply the exponents. Multiply -2 and 3 to get -6.
\frac{343}{8}m^{-6}
Calculate \frac{7}{2} to the power of 3 and get \frac{343}{8}.
\left(\frac{6+1}{2}m^{-2}\right)^{3}
Multiply 3 and 2 to get 6.
\left(\frac{7}{2}m^{-2}\right)^{3}
Add 6 and 1 to get 7.
\left(\frac{7}{2}\right)^{3}\left(m^{-2}\right)^{3}
Expand \left(\frac{7}{2}m^{-2}\right)^{3}.
\left(\frac{7}{2}\right)^{3}m^{-6}
To raise a power to another power, multiply the exponents. Multiply -2 and 3 to get -6.
\frac{343}{8}m^{-6}
Calculate \frac{7}{2} to the power of 3 and get \frac{343}{8}.
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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