Solve 16^3div481^1div4/6*16frac{1{2}}

$$\frac{ { 16 }^{ 3 \div 4 } { 81 }^{ 1 \div 4 } }{ 6 \cdot 16 \frac{ 1 }{ 2 } }$$

Evaluate

$$\frac{8}{33}\approx 0.242424242$$

Solution Steps

Calculate 16 to the power of \frac{3}{4} and get 8.

$$\frac{8\times 81^{\frac{1}{4}}}{6\times \frac{16\times 2+1}{2}}$$

Calculate 81 to the power of \frac{1}{4} and get 3.

$$\frac{8\times 3}{6\times \frac{16\times 2+1}{2}}$$

Multiply 8 and 3 to get 24.

$$\frac{24}{6\times \frac{16\times 2+1}{2}}$$

Multiply 16 and 2 to get 32.

$$\frac{24}{6\times \frac{32+1}{2}}$$

Add 32 and 1 to get 33.

$$\frac{24}{6\times \frac{33}{2}}$$

Multiply 6 and \frac{33}{2} to get 99.

$$\frac{24}{99}$$

Reduce the fraction \frac{24}{99} to lowest terms by extracting and canceling out 3.

$$\frac{8}{33}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 11} = 0.24242424242424243$$