Solve frac{10^{5}*10^-3*10^2}{10^-4*10^7}

$$\frac { 10 ^ { 5 } \cdot 10 ^ { - 3 } \cdot 10 ^ { 2 } } { 10 ^ { - 4 } \cdot 10 ^ { 7 } }$$

Evaluate

$$10$$

Solution Steps

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

$$\frac{10^{2}\times 10^{2}}{10^{-4}\times 10^{7}}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{10^{4}}{10^{-4}\times 10^{7}}$$

To multiply powers of the same base, add their exponents. Add -4 and 7 to get 3.

$$\frac{10^{4}}{10^{3}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 4 to get 1.

$$10^{1}$$

Calculate 10 to the power of 1 and get 10.

$$10$$

Factor

$$2\times 5$$