Solve ({x}^frac{2{3}}+5{x}^frac{2{3}})*{x}^frac{1{3}}=10

$$( { x }^{ \frac{ 2 }{ 3 } } +5 { x }^{ \frac{ 2 }{ 3 } } ) \times { x }^{ \frac{ 1 }{ 3 } } =10$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Combine x^{\frac{2}{3}} and 5x^{\frac{2}{3}} to get 6x^{\frac{2}{3}}.

$$6x^{\frac{2}{3}}x^{\frac{1}{3}}=10$$

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

$$6x^{1}=10$$

Calculate x to the power of 1 and get x.

$$6x=10$$

Divide both sides by 6.

$$x=\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{5}{3}$$