Evaluate
\frac{50\sqrt[3]{2}\times 15^{\frac{2}{3}}}{3}\approx 127.718238732
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250\sqrt[3]{\frac{1}{7.5}}
Multiply 3 and 2.5 to get 7.5.
250\sqrt[3]{\frac{10}{75}}
Expand \frac{1}{7.5} by multiplying both numerator and the denominator by 10.
250\sqrt[3]{\frac{2}{15}}
Reduce the fraction \frac{10}{75} to lowest terms by extracting and canceling out 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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