Solve {(2^-7)^frac{-3{7}}}^frac{1{3}}

$$\{ ( 2 ^ { - 7 } ) ^ { \frac { - 3 } { 7 } } \} ^ { \frac { 1 } { 3 } }$$

Evaluate

$$2$$

Solution Steps

Calculate 2 to the power of -7 and get \frac{1}{128}.

$$\left(\left(\frac{1}{128}\right)^{\frac{-3}{7}}\right)^{\frac{1}{3}}$$

Fraction \frac{-3}{7} can be rewritten as -\frac{3}{7} by extracting the negative sign.

$$\left(\left(\frac{1}{128}\right)^{-\frac{3}{7}}\right)^{\frac{1}{3}}$$

Calculate \frac{1}{128} to the power of -\frac{3}{7} and get 8.

$$8^{\frac{1}{3}}$$

Calculate 8 to the power of \frac{1}{3} and get 2.

$$2$$

Factor

$$2$$