Solve 81*2^4/2^5*3^3*16/8*2^2

$$\frac { 81 \cdot 2 ^ { 4 } } { 2 ^ { 5 } \cdot 3 ^ { 3 } } \cdot \frac { 16 } { 8 \cdot 2 ^ { 2 } }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Cancel out 2^{4} in both numerator and denominator.

$$\frac{81}{2\times 3^{3}}\times \frac{16}{8\times 2^{2}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{81}{2\times 27}\times \frac{16}{8\times 2^{2}}$$

Multiply 2 and 27 to get 54.

$$\frac{81}{54}\times \frac{16}{8\times 2^{2}}$$

Reduce the fraction \frac{81}{54} to lowest terms by extracting and canceling out 27.

$$\frac{3}{2}\times \frac{16}{8\times 2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{3}{2}\times \frac{16}{8\times 4}$$

Multiply 8 and 4 to get 32.

$$\frac{3}{2}\times \frac{16}{32}$$

Reduce the fraction \frac{16}{32} to lowest terms by extracting and canceling out 16.

$$\frac{3}{2}\times \frac{1}{2}$$

Multiply \frac{3}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{2\times 2}$$

Do the multiplications in the fraction \frac{3\times 1}{2\times 2}.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$