Solve {4}^frac{2{6}-{left(7/14right)}^2}

$${ 4 }^{ \frac{ 2 }{ 6 } - { \left( \frac{ 7 }{ 14 } \right) }^{ 2 } }$$

Evaluate

$$\sqrt[6]{2}\approx 1.122462048$$

Solution Steps

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

$$4^{\frac{1}{3}-\left(\frac{7}{14}\right)^{2}}$$

Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.

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

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$4^{\frac{1}{3}-\frac{1}{4}}$$

Subtract \frac{1}{4} from \frac{1}{3} to get \frac{1}{12}.

$$4^{\frac{1}{12}}$$