Solve for y x/(y^3)=1

$\frac{x}{y^{3}} = 1$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$y^{3}, 1$

The LCM of one and any expression is the expression.

$y^{3}$

Multiply each term in $\frac{x}{y^{3}} = 1$ by $y^{3}$ to eliminate the fractions.

Multiply each term in $\frac{x}{y^{3}} = 1$ by $y^{3}$ .

$\frac{x}{y^{3}} y^{3} = 1 y^{3}$

Simplify the left side.

Cancel the common factor of $y^{3}$ .

Cancel the common factor.

$\frac{x}{y^{3}} y^{3} = 1 y^{3}$

Rewrite the expression.

$x = 1 y^{3}$

Simplify the right side.

Multiply $y^{3}$ by $1$ .

$x = y^{3}$

Solve the equation.

Rewrite the equation as $y^{3} = x$ .

$y^{3} = x$

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

$y = \sqrt[3]{x}$