Solve frac{10^{7}}{10^2}=10^2*10^5/10^2

$$\frac { 10 ^ { 7 } } { 10 ^ { 2 } } = \frac { 10 ^ { 2 } \times 10 ^ { 5 } } { 10 ^ { 2 } }$$

Verify

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 2 and 5 to get 7.

$$10^{5}=\frac{10^{7}}{10^{2}}$$

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

$$10^{5}=10^{5}$$

As 10^{5} and 10^{5} have the same base, compare them by comparing their exponents.

$$\text{true}$$