Solve 10^-2*10*10^-4/10^-1*10^-6

$$\frac { 10 ^ { - 2 } \cdot 10 \cdot 10 ^ { - 4 } } { 10 ^ { - 1 } \cdot 10 ^ { - 6 } }$$

Evaluate

$$100$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and 1 to get -1.

$$\frac{10^{-1}\times 10^{-4}}{10^{-1}\times 10^{-6}}$$

To multiply powers of the same base, add their exponents. Add -1 and -4 to get -5.

$$\frac{10^{-5}}{10^{-1}\times 10^{-6}}$$

To multiply powers of the same base, add their exponents. Add -1 and -6 to get -7.

$$\frac{10^{-5}}{10^{-7}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -7 from -5 to get 2.

$$10^{2}$$

Calculate 10 to the power of 2 and get 100.

$$100$$

Factor

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