Solve (10^2*100^3/1000^-2*10^4)

$$( \frac { 10 ^ { 2 } \cdot 100 ^ { 3 } } { 1000 ^ { - 2 } \cdot 10 ^ { 4 } } )$$

Evaluate

$$10000000000$$

Solution Steps

Cancel out 10^{2} in both numerator and denominator.

$$\frac{100^{3}}{10^{2}\times 1000^{-2}}$$

Calculate 100 to the power of 3 and get 1000000.

$$\frac{1000000}{10^{2}\times 1000^{-2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{1000000}{100\times 1000^{-2}}$$

Calculate 1000 to the power of -2 and get \frac{1}{1000000}.

$$\frac{1000000}{100\times \frac{1}{1000000}}$$

Multiply 100 and \frac{1}{1000000} to get \frac{1}{10000}.

$$\frac{1000000}{\frac{1}{10000}}$$

Divide 1000000 by \frac{1}{10000} by multiplying 1000000 by the reciprocal of \frac{1}{10000}.

$$1000000\times 10000$$

Multiply 1000000 and 10000 to get 10000000000.

$$10000000000$$

Factor

$$2^{10}\times 5^{10}$$