Solve frac{8^{3}*5^5*4^3}{5^3*16^3*10}

$$\frac { 8 ^ { 3 } \cdot 5 ^ { 5 } \cdot 4 ^ { 3 } } { 5 ^ { 3 } \cdot 16 ^ { 3 } \cdot 10 }$$

Evaluate

$$20$$

Solution Steps

Cancel out 5^{3} in both numerator and denominator.

$$\frac{4^{3}\times 5^{2}\times 8^{3}}{10\times 16^{3}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{64\times 5^{2}\times 8^{3}}{10\times 16^{3}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{64\times 25\times 8^{3}}{10\times 16^{3}}$$

Multiply 64 and 25 to get 1600.

$$\frac{1600\times 8^{3}}{10\times 16^{3}}$$

Calculate 8 to the power of 3 and get 512.

$$\frac{1600\times 512}{10\times 16^{3}}$$

Multiply 1600 and 512 to get 819200.

$$\frac{819200}{10\times 16^{3}}$$

Calculate 16 to the power of 3 and get 4096.

$$\frac{819200}{10\times 4096}$$

Multiply 10 and 4096 to get 40960.

$$\frac{819200}{40960}$$

Divide 819200 by 40960 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$