Solve 10^-6*10^7/10^9*10^-15

$$\frac { 10 ^ { - 6 } \times 10 ^ { 7 } } { 10 ^ { 9 } \cdot 10 ^ { - 15 } }$$

Evaluate

$$10000000$$

Solution Steps

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

$$\frac{10^{1}}{10^{9}\times 10^{-15}}$$

To multiply powers of the same base, add their exponents. Add 9 and -15 to get -6.

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

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -6 from 1 to get 7.

$$10^{7}$$

Calculate 10 to the power of 7 and get 10000000.

$$10000000$$

Factor

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