Solve 2^1/3+4^1/6=?

$$2 ^ { 1 } / 3 + 4 ^ { 1 } / 6 = ?$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Calculate 2 to the power of 1 and get 2.

$$\frac{2}{3}+\frac{4^{1}}{6}$$

Calculate 4 to the power of 1 and get 4.

$$\frac{2}{3}+\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}+\frac{2}{3}$$

Since \frac{2}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{2+2}{3}$$

Add 2 and 2 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$