Solve 2(51/16)^-frac{1{4}}

$$2 ( 5 \frac { 1 } { 16 } ) ^ { - \frac { 1 } { 4 } }$$

Evaluate

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

Solution Steps

Multiply 5 and 16 to get 80.

$$2\times \left(\frac{80+1}{16}\right)^{-\frac{1}{4}}$$

Add 80 and 1 to get 81.

$$2\times \left(\frac{81}{16}\right)^{-\frac{1}{4}}$$

Calculate \frac{81}{16} to the power of -\frac{1}{4} and get \frac{2}{3}.

$$2\times \frac{2}{3}$$

Multiply 2 and \frac{2}{3} to get \frac{4}{3}.

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

Factor

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