Respuesta :

Answer:

[tex]\frac{x^{-8}}{x^{5}}=x^{-13}[/tex]

Step-by-step explanation:

In division of powers with the same base, we must subtract the exponent of the denominator from the exponent of the numerator:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

Then applying this to the problem:

[tex]\frac{x^{-8}}{x^{5}}=x^{-8-5}\\ \frac{x^{-8}}{x^{5}}=x^{-13}[/tex]

alinakincsem

Answer:

[tex]x^{-13}[/tex]

Step-by-step explanation:

We are given the following expression and we are to determine whether it is to be multiplied or divided and perform that operation on it accordingly:

[tex] \frac {x ^ {-8} } { x ^ 5} [/tex]

The given expression indicates that the two terms are to be divided and we know that when two terms with same bases are divided, their exponents are subtracted.

[tex]x^{(-8)-5} = x^{-13}[/tex]

Therefore, the simplified answer is [tex]x^{-13}[/tex].

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