Solve {left({81}^-frac{6{7}}right)}^frac{7{12}}

$${ \left( { 81 }^{ - \frac{ 6 }{ 7 } } \right) }^{ \frac{ 7 }{ 12 } }$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(81^{-\frac{6}{7}}\right)^{\frac{7}{12}}$$

To raise a power to another power, multiply the exponents.

$$81^{-\frac{6}{7}\times \frac{7}{12}}$$

Multiply -\frac{6}{7} times \frac{7}{12} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$81^{-\frac{1}{2}}$$

Raise 81 to the power -\frac{1}{2}.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$