Question

simplify. express your answer using positive exponents. \\(\frac{m^{-5}}{m^{-8}}\\)

Explanation:

Step1: Recall exponent rule for division

When dividing terms with the same base, we subtract the exponents: $\frac{a^m}{a^n}=a^{m - n}$. Here, the base is $m$, so we apply this rule to $\frac{m^{-5}}{m^{-8}}$.

Step2: Subtract the exponents

Using the rule, we get $m^{-5-(-8)}$. Simplify the exponent: $-5 + 8 = 3$. So the expression simplifies to $m^{3}$.

Answer:

$m^{3}$