Solve frac{{8}^frac{2{3}}}{sqrt{144}}frac{{9}^frac{1{2}}}{sqrt{256}}

$$\frac{ { 8 }^{ \frac{ 2 }{ 3 } } }{ \sqrt{ 144 } } \frac{ { 9 }^{ \frac{ 1 }{ 2 } } }{ \sqrt{ 256 } }$$

Evaluate

$$\frac{1}{16}=0.0625$$

Solution Steps

Calculate 8 to the power of \frac{2}{3} and get 4.

$$\frac{4}{\sqrt{144}}\times \frac{9^{\frac{1}{2}}}{\sqrt{256}}$$

Calculate the square root of 144 and get 12.

$$\frac{4}{12}\times \frac{9^{\frac{1}{2}}}{\sqrt{256}}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}\times \frac{9^{\frac{1}{2}}}{\sqrt{256}}$$

Calculate 9 to the power of \frac{1}{2} and get 3.

$$\frac{1}{3}\times \frac{3}{\sqrt{256}}$$

Calculate the square root of 256 and get 16.

$$\frac{1}{3}\times \frac{3}{16}$$

Multiply \frac{1}{3} and \frac{3}{16} to get \frac{1}{16}.

$$\frac{1}{16}$$

Factor

$$\frac{1}{2 ^ {4}} = 0.0625$$