Solve 10^-3*10^5*(0,01)^-2/0,001

$$\frac { 10 ^ { - 3 } \cdot 10 ^ { 5 } \cdot ( 0,01 ) ^ { - 2 } } { 0,001 }$$

Evaluate

$$1000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and 5 to get 2.

$$\frac{10^{2}\times 0,01^{-2}}{0,001}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{100\times 0,01^{-2}}{0,001}$$

Calculate 0,01 to the power of -2 and get 10000.

$$\frac{100\times 10000}{0,001}$$

Multiply 100 and 10000 to get 1000000.

$$\frac{1000000}{0,001}$$

Expand \frac{1000000}{0,001} by multiplying both numerator and the denominator by 1000. Anything divided by one gives itself.

$$1000000000$$

Factor

$$2^{9}\times 5^{9}$$