Evaluate
\frac{y^{\frac{3}{2}}x^{3}}{16}
Expand
\frac{y^{\frac{3}{2}}x^{3}}{16}
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\left(\frac{1}{4}\right)^{2}\left(x^{\frac{3}{2}}\right)^{2}\left(y^{\frac{3}{4}}\right)^{2}
Expand \left(\frac{1}{4}x^{\frac{3}{2}}y^{\frac{3}{4}}\right)^{2}.
\left(\frac{1}{4}\right)^{2}x^{3}\left(y^{\frac{3}{4}}\right)^{2}
To raise a power to another power, multiply the exponents. Multiply \frac{3}{2} and 2 to get 3.
\left(\frac{1}{4}\right)^{2}x^{3}y^{\frac{3}{2}}
To raise a power to another power, multiply the exponents. Multiply \frac{3}{4} and 2 to get \frac{3}{2}.
\frac{1}{16}x^{3}y^{\frac{3}{2}}
Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.
\left(\frac{1}{4}\right)^{2}\left(x^{\frac{3}{2}}\right)^{2}\left(y^{\frac{3}{4}}\right)^{2}
Expand \left(\frac{1}{4}x^{\frac{3}{2}}y^{\frac{3}{4}}\right)^{2}.
\left(\frac{1}{4}\right)^{2}x^{3}\left(y^{\frac{3}{4}}\right)^{2}
To raise a power to another power, multiply the exponents. Multiply \frac{3}{2} and 2 to get 3.
\left(\frac{1}{4}\right)^{2}x^{3}y^{\frac{3}{2}}
To raise a power to another power, multiply the exponents. Multiply \frac{3}{4} and 2 to get \frac{3}{2}.
\frac{1}{16}x^{3}y^{\frac{3}{2}}
Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.
Examples
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y = 3x + 4
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}