Solve (2^4*10^4):(5^2*4^2)=

$$( 2 ^ { 4 } \cdot 10 ^ { 4 } ) : ( 5 ^ { 2 } \cdot 4 ^ { 2 } ) =$$

Evaluate

$$400$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

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

Calculate 10 to the power of 4 and get 10000.

$$\frac{16\times 10000}{5^{2}\times 4^{2}}$$

Multiply 16 and 10000 to get 160000.

$$\frac{160000}{5^{2}\times 4^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{160000}{25\times 4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{160000}{25\times 16}$$

Multiply 25 and 16 to get 400.

$$\frac{160000}{400}$$

Divide 160000 by 400 to get 400.

$$400$$

Factor

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