How do you simplify expressions using the quotient rule?

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Answer 1 · 2015-01-24T13:32:10

The Quotient Rule for Exponents

Let me give you a basic explanation:

Lets take the example of
$\frac{4^{36}}{4^{21}}$ $4^36/4^21$

The quotient rule states that for an expression like $\frac{x^{a}}{x^{b}} = x^{a - b}$ $x^a/x^b = x^(a-b)$

Now of course you question how to simplify expressions using this rule.

Now lets take such a eg.

Compute the following: $\frac{625 x^{23}}{25 x^{3}}$ ${625x^23}/{25x^3}$

this nothing but 25 $(x^{23 - 3})$ $(x^(23-3))$

So we are left with this final answer $25 x^{20}$ $25x^20$