# How do you (7^5)/(7^2)?

Jul 13, 2015

Use the rule of division of powers:

#### Explanation:

${x}^{a} / {x}^{b} = {x}^{a - b}$

Or in this case: $= {7}^{5 - 2} = {7}^{3}$

It's easy to see why this works:

${7}^{5} / {7}^{2} = \frac{7 \cdot 7 \cdot 7 \cdot \cancel{7} \cdot \cancel{7}}{\cancel{7} \cdot \cancel{7}}$