Solve (2^5*10^5)div(5^3*4^3)

$$( 2 ^ { 5 } \cdot 10 ^ { 5 } ) \div ( 5 ^ { 3 } \cdot 4 ^ { 3 } )$$

Evaluate

$$400$$

Solution Steps

Calculate 2 to the power of 5 and get 32.

$$\frac{32\times 10^{5}}{5^{3}\times 4^{3}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{32\times 100000}{5^{3}\times 4^{3}}$$

Multiply 32 and 100000 to get 3200000.

$$\frac{3200000}{5^{3}\times 4^{3}}$$

Calculate 5 to the power of 3 and get 125.

$$\frac{3200000}{125\times 4^{3}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{3200000}{125\times 64}$$

Multiply 125 and 64 to get 8000.

$$\frac{3200000}{8000}$$

Divide 3200000 by 8000 to get 400.

$$400$$

Factor

$$2^{4}\times 5^{2}$$