Solve frac{10^{-2}*10^-3*10^8}{10^-1*10^-6}

$$\frac { 10 ^ { - 2 } \cdot 10 ^ { - 3 } \cdot 10 ^ { 8 } } { 10 ^ { - 1 } \cdot 10 ^ { - 6 } }$$

Evaluate

$$10000000000$$

Solution Steps

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

$$\frac{10^{-5}\times 10^{8}}{10^{-1}\times 10^{-6}}$$

To multiply powers of the same base, add their exponents. Add -5 and 8 to get 3.

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

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

$$\frac{10^{3}}{10^{-7}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -7 from 3 to get 10.

$$10^{10}$$

Calculate 10 to the power of 10 and get 10000000000.

$$10000000000$$

Factor

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