Solve 1/3*sqrt{x^7}+8x^frac{3{8}}

$$\frac { 1 } { 3 } \cdot \sqrt { x ^ { 7 } } + 8 x ^ { \frac { 3 } { 8 } }$$

Factor

$$\frac{x^{\frac{3}{8}}\left(x^{\frac{25}{8}}+24\right)}{3}$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{x^{\frac{7}{2}}+24x^{\frac{3}{8}}}{3}$$

Consider x^{\frac{7}{2}}+24x^{\frac{3}{8}}. Factor out x^{\frac{3}{8}}.

$$x^{\frac{3}{8}}\left(x^{\frac{25}{8}}+24\right)$$

Rewrite the complete factored expression.

$$\frac{x^{\frac{3}{8}}\left(x^{\frac{25}{8}}+24\right)}{3}$$

Evaluate

$$\frac{x^{\frac{7}{2}}}{3}+8x^{\frac{3}{8}}$$