What is the answer to solvefor x,(sqrt(x))^7*y^3=3125 ?

The answer to solvefor x,(sqrt(x))^7*y^3=3125 is x=((3125)/(y^3))^{2/7} {y 0}

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solvefor x,(sqrt(x))^7*y^3=3125

solve for

x, (x)^{7} \cdot y^{3} = 3125

x = (\frac{3125}{y ^{3}})^{\frac{2}{7}} {y < 0 or y > 0}

Solution steps

(x)^{7} y^{3} = 3125

Expand

(x)^{7} y^{3} : x^{\frac{7}{2}} y^{3}

x^{\frac{7}{2}} y^{3} = 3125

Divide both sides by

y^{3}

x^{\frac{7}{2}} = \frac{3125}{y ^{3}}

Take both sides of the equation to the power of

\frac{2}{7} : x = (\frac{3125}{y ^{3}})^{\frac{2}{7}}

x = (\frac{3125}{y ^{3}})^{\frac{2}{7}}

Verify Solutions:

x = (\frac{3125}{y ^{3}})^{\frac{2}{7}} {y < 0 or y > 0}

The solution is

x = (\frac{3125}{y ^{3}})^{\frac{2}{7}} {y < 0 or y > 0}

x + 2 = (x + 3)

(\frac{4 a}{3})^{\frac{1}{3}} = 3 a

x^{2} + 2 3 x + 1 = 0

x - 49 = x + 7

(2 x - 3)^{2} = 3 x - 5 x

What is the answer to solvefor x,(sqrt(x))^7*y^3=3125 ?
The answer to solvefor x,(sqrt(x))^7*y^3=3125 is x=((3125)/(y^3))^{2/7} {y<0\lor y>0}