Verified Answer :

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

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)        , 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

= \(-5^{7-2}\)

= -5⁵

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

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