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

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Answer 1 · 2017-01-14T19:00:31

Use the correct rule for exponents. See below:

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

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

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

How do you find the quotient 5^5/5^25^5/5^2?