Question

simplify.
\\(\dfrac{p^{-5}}{p^{-7}}\\)
write your answer with a positive exponent only.

Explanation:

Step1: Use the quotient rule for exponents

When dividing two powers with the same base, we subtract the exponents: $\frac{a^m}{a^n} = a^{m - n}$. Here, the base is $p$, $m = -5$, and $n = -7$. So we have $p^{-5 - (-7)}$.

Step2: Simplify the exponent

Simplify the exponent: $-5 - (-7) = -5 + 7 = 2$. So the expression becomes $p^2$.

Answer:

$p^2$