Algebra Examples

${(3 y - 4)}^{\frac{2}{5}} = {(16 y)}^{\frac{1}{5}}$

Step 1

Subtract ${(16 y)}^{\frac{1}{5}}$ from both sides of the equation.

${(3 y - 4)}^{\frac{2}{5}} - {(16 y)}^{\frac{1}{5}} = 0$

Step 2

Apply the product rule to $16 y$ .

${(3 y - 4)}^{\frac{2}{5}} - 16^{\frac{1}{5}} y^{\frac{1}{5}} = 0$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$y = \frac{4}{9}, 4$

Step 4