Solve (2^2*10^3)^2/2*10^-2

$$\frac { ( 2 ^ { 2 } \times 10 ^ { 3 } ) ^ { 2 } } { 2 \times 10 ^ { - 2 } }$$

Evaluate

$$800000000$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{\left(4\times 10^{3}\right)^{2}}{2\times 10^{-2}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{\left(4\times 1000\right)^{2}}{2\times 10^{-2}}$$

Multiply 4 and 1000 to get 4000.

$$\frac{4000^{2}}{2\times 10^{-2}}$$

Calculate 4000 to the power of 2 and get 16000000.

$$\frac{16000000}{2\times 10^{-2}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{16000000}{2\times \frac{1}{100}}$$

Multiply 2 and \frac{1}{100} to get \frac{1}{50}.

$$\frac{16000000}{\frac{1}{50}}$$

Divide 16000000 by \frac{1}{50} by multiplying 16000000 by the reciprocal of \frac{1}{50}.

$$16000000\times 50$$

Multiply 16000000 and 50 to get 800000000.

$$800000000$$

Factor

$$2^{11}\times 5^{8}$$