Solve {left({left(1^1frac{1/1right)}^3}{1}right)}^2

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

Evaluate

$$1$$

Solution Steps

Divide 1 by 1 to get 1.

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

To multiply powers of the same base, add their exponents. Add 1 and 1 to get 2.

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

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\left(\frac{1^{6}}{1}\right)^{2}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 6 to get 5.

$$\left(1^{5}\right)^{2}$$

Calculate 1 to the power of 5 and get 1.

$$1^{2}$$

Calculate 1 to the power of 2 and get 1.

$$1$$

Factor

$$1$$