Solve {left(9*3right)}^frac{2{3}}+{left(2*4right)}^frac{2{3}}+{-1}^frac{2{3}}

$${ \left(9 \times 3 \right) }^{ \frac{ 2 }{ 3 } } + { \left(2 \times 4 \right) }^{ \frac{ 2 }{ 3 } } + { -1 }^{ \frac{ 2 }{ 3 } }$$

Evaluate

$$14$$

Solution Steps

Multiply 9 and 3 to get 27.

$$27^{\frac{2}{3}}+\left(2\times 4\right)^{\frac{2}{3}}+\left(-1\right)^{\frac{2}{3}}$$

Calculate 27 to the power of \frac{2}{3} and get 9.

$$9+\left(2\times 4\right)^{\frac{2}{3}}+\left(-1\right)^{\frac{2}{3}}$$

Multiply 2 and 4 to get 8.

$$9+8^{\frac{2}{3}}+\left(-1\right)^{\frac{2}{3}}$$

Calculate 8 to the power of \frac{2}{3} and get 4.

$$9+4+\left(-1\right)^{\frac{2}{3}}$$

Add 9 and 4 to get 13.

$$13+\left(-1\right)^{\frac{2}{3}}$$

Calculate -1 to the power of \frac{2}{3} and get 1.

$$13+1$$

Add 13 and 1 to get 14.

$$14$$

Factor

$$2\times 7$$