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

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

Evaluate

$$100000000000000000$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -3 and 3 to get -9.

$$\frac{100^{-2}\times 1000^{4}}{10^{-9}}$$

Calculate 100 to the power of -2 and get \frac{1}{10000}.

$$\frac{\frac{1}{10000}\times 1000^{4}}{10^{-9}}$$

Calculate 1000 to the power of 4 and get 1000000000000.

$$\frac{\frac{1}{10000}\times 1000000000000}{10^{-9}}$$

Multiply \frac{1}{10000} and 1000000000000 to get 100000000.

$$\frac{100000000}{10^{-9}}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\frac{100000000}{\frac{1}{1000000000}}$$

Divide 100000000 by \frac{1}{1000000000} by multiplying 100000000 by the reciprocal of \frac{1}{1000000000}.

$$100000000\times 1000000000$$

Multiply 100000000 and 1000000000 to get 100000000000000000.

$$100000000000000000$$

Factor

$$2^{17}\times 5^{17}$$