Respuesta :

bcalle
The rule for diving exponents with the same base is
"keep the base and subtract the powers"
(-5)^7/(-5)^2 = (-5)^(7-2) = (-5)^5

Positive power for the base -5  for the given expression is equals to -5⁵.

What is power in mathematics?

" Power of any number is defined as the number of times number multiply to itself."

Formula used

Division rule for power and exponent

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

According to the question,

Given expression,

-5⁷÷ -5²

Substitute the value in the division rule of power and exponent we get,

-5⁷÷ -5²

= [tex]-5^{7-2}[/tex]

= -5⁵

Hence, positive power for the base -5  for the given expression is equals to -5⁵.

Learn more about power here

https://brainly.com/question/17360837

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