Respuesta :
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
"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.
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