Solve frac{sqrt[3]{1*1^2}}{1*{1}^frac{1{3}}}

$$\frac{ \sqrt[ 3 ]{ 1 \times { 1 }^{ 2 } } }{ 1 \times { 1 }^{ \frac{ 1 }{ 3 } } }$$

Evaluate

$$1$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{\sqrt[3]{1^{3}}}{1\times 1^{\frac{1}{3}}}$$

To multiply powers of the same base, add their exponents. Add 1 and \frac{1}{3} to get \frac{4}{3}.

$$\frac{\sqrt[3]{1^{3}}}{1^{\frac{4}{3}}}$$

Calculate 1 to the power of 3 and get 1.

$$\frac{\sqrt[3]{1}}{1^{\frac{4}{3}}}$$

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

$$\frac{1}{1^{\frac{4}{3}}}$$

Calculate 1 to the power of \frac{4}{3} and get 1.

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

Anything divided by one gives itself.

$$1$$

Factor

$$1$$