Solve 1/500*10^-3*25*10^-6

$$\frac { 1 } { 500 \times 10 ^ { - 3 } \times 25 \times 10 ^ { - 6 } }$$

Evaluate

$$80000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -6 to get -9.

$$\frac{1}{500\times 10^{-9}\times 25}$$

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

$$\frac{1}{500\times \frac{1}{1000000000}\times 25}$$

Multiply 500 and \frac{1}{1000000000} to get \frac{1}{2000000}.

$$\frac{1}{\frac{1}{2000000}\times 25}$$

Multiply \frac{1}{2000000} and 25 to get \frac{1}{80000}.

$$\frac{1}{\frac{1}{80000}}$$

Divide 1 by \frac{1}{80000} by multiplying 1 by the reciprocal of \frac{1}{80000}.

$$1\times 80000$$

Multiply 1 and 80000 to get 80000.

$$80000$$

Factor

$$2^{7}\times 5^{4}$$