Question

How do you find the quotient `5^5/5^2`?

Answer 1

Use the correct rule for exponents. See below:

Explanation:

We will use this rule of exponents to complete this division problem:

`x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))`

`5^color(red)(5)/5^color(blue)(2) = 5^(color(red)(5)-color(blue)(2)) = 5^3 = 5 xx 5 xx 5 = 25 xx 5 = 125`