Simplify the expression so there is only one positive power for the base -5. -5^7÷-5^2
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.
" 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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