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Mathematics 13 Online
OpenStudy (anonymous):

solve this :

OpenStudy (anonymous):

OpenStudy (anonymous):

We have : \[\sqrt[y]{x^y}=\left(x^y\right)^{\frac1y}=x=25\\ x^{3/2}=\sqrt{x^3}=x\sqrt{x}=25\times\sqrt{25}=25\times5=125 \\\sqrt{x}=\sqrt{25}=5 \] Hence : \[\frac{\sqrt[y]{x^y}x^{3/2}}{\sqrt x}=\frac{25\times125}{5}=625\]

OpenStudy (jhannybean):

\[x=25\ , \ y=-2\]\[\huge \frac{\sqrt[y]{x^y}x^{3/2}}{\sqrt{x}}\] \[\huge \frac{(x^y)^{1/y}\cdot x^{3/2}}{x^{1/2}}= \frac{x\cdot x^{3/2}}{x^{1/2}}\]\[\large \frac{x^{5/2}}{x^{1/2}}= x^2 = (25)^2 = 625\]

OpenStudy (anonymous):

thanks both of you :D

OpenStudy (jhannybean):

np, lol.

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