Respuesta :

Noah11012
Let's see why that happens by evaluating an expression with exponents.

[tex]\frac{a^{20}}{a^{10}}[/tex] <-- Now expand the exponent
[tex]\frac{a^{20}}{a^{10}} = \frac{(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)}{(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)}[/tex]

Now simplify the fraction by canceling out any common factors on the numerator and denominator.

[tex]\frac{(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)}{(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)} = \frac{(a)(a)(a)(a)(a)(a)(a)(a)(a)(a)}{1} = a^{10}[/tex]

So, it's the same thing as subtracting the powers.

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