Evaluate
8\times \left(\frac{t}{s}\right)^{3}
Expand
8\times \left(\frac{t}{s}\right)^{3}
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\frac{s^{-3}}{\left(2t\right)^{-3}}
To raise \frac{s}{2t} to a power, raise both numerator and denominator to the power and then divide.
\frac{s^{-3}}{2^{-3}t^{-3}}
Expand \left(2t\right)^{-3}.
\frac{s^{-3}}{\frac{1}{8}t^{-3}}
Calculate 2 to the power of -3 and get \frac{1}{8}.
\frac{s^{-3}}{\left(2t\right)^{-3}}
To raise \frac{s}{2t} to a power, raise both numerator and denominator to the power and then divide.
\frac{s^{-3}}{2^{-3}t^{-3}}
Expand \left(2t\right)^{-3}.
\frac{s^{-3}}{\frac{1}{8}t^{-3}}
Calculate 2 to the power of -3 and get \frac{1}{8}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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