### Formula and Examples

$ \frac{ x^m} {x^n} = x^{m \red - n} $

Example

$ \frac{ x^5} {x^3} = x^{5 \red - 3} = x ^2 $

Formula and examples of how to subtract exponents

$ \frac{ x^m} {x^n} = x^{m \red - n} $

Example

$ \frac{ x^5} {x^3} = x^{5 \red - 3} = x ^2 $

There are two ways to demonstrate the reason behind this formula

Explanation 1: If you expand the numerator and the denominator, you can see that we cancel several x's that are common factors. All that remains is $$ x \cdot x $$ which, of course, is $$ x^2 $$ .

Explanation 2:
Rewrite the denominator as negative exponent and then simplify.

Enter any exponential equation into the algebra solver below :

Use the formula for subtracting exponents to simplify each expression below.

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