Solve {left(frac{sqrt{{left(sqrt[3]{{left(sqrt[1]{1}right)}^1}1/1right)}^3}}{1}right)}^2=1

$${ \left( \frac{ \sqrt{ { \left( \sqrt[3]{ { \left( \sqrt[ 1 ]{ 1 } \right) }^{ 1 } } \frac { 1 } { 1 } \right) }^{ 3 } } }{ 1 } \right) }^{ 2 } =1$$

Verify

Solution Steps

Divide 1 by 1 to get 1.

$$\left(\frac{\sqrt{\left(\sqrt[3]{\left(\sqrt[1]{1}\right)^{1}}\times 1\right)^{3}}}{1}\right)^{2}=1$$

Calculate \sqrt[1]{1} and get 1.

$$\left(\frac{\sqrt{\left(\sqrt[3]{1^{1}}\times 1\right)^{3}}}{1}\right)^{2}=1$$

Calculate 1 to the power of 1 and get 1.

$$\left(\frac{\sqrt{\left(\sqrt[3]{1}\times 1\right)^{3}}}{1}\right)^{2}=1$$

Calculate \sqrt[3]{1} and get 1.

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

Multiply 1 and 1 to get 1.

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

Calculate 1 to the power of 3 and get 1.

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

Calculate the square root of 1 and get 1.

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

Anything divided by one gives itself.

$$1^{2}=1$$

Calculate 1 to the power of 2 and get 1.

$$1=1$$

Compare 1 and 1.

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