Solve y^1/3(y^frac{2{3}}+y^5/3)

$$y ^ { 1 / 3 } ( y ^ { \frac { 2 } { 3 } } + y ^ { 5 / 3 } )$$

Evaluate

$$y\left(y+1\right)$$

Solution Steps

Use the distributive property to multiply y^{\frac{1}{3}} by y^{\frac{2}{3}}+y^{\frac{5}{3}}.

$$y^{\frac{1}{3}}y^{\frac{2}{3}}+y^{\frac{1}{3}}y^{\frac{5}{3}}$$

To multiply powers of the same base, add their exponents. Add \frac{1}{3} and \frac{2}{3} to get 1.

$$y^{1}+y^{\frac{1}{3}}y^{\frac{5}{3}}$$

To multiply powers of the same base, add their exponents. Add \frac{1}{3} and \frac{5}{3} to get 2.

$$y^{1}+y^{2}$$

Calculate y to the power of 1 and get y.

$$y+y^{2}$$

Factor

$$y\left(y+1\right)$$