Solve 10^3div(10^-3)^2/10^5

$$\frac { 10 ^ { 3 } \div ( 10 ^ { - 3 } ) ^ { 2 } } { 10 ^ { 5 } }$$

Evaluate

$$10000$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -3 and 2 to get -6.

$$\frac{\frac{10^{3}}{10^{-6}}}{10^{5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -6 from 3 to get 9.

$$\frac{10^{9}}{10^{5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 9 to get 4.

$$10^{4}$$

Calculate 10 to the power of 4 and get 10000.

$$10000$$

Factor

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