Question

question 1-1
simplify the expression (5^-3) / (5^-7) using the properties of exponents.
5^4
5^-10
5^-4
5^10

Explanation:

Step1: Apply exponent - division rule

According to the rule $\frac{a^m}{a^n}=a^{m - n}$, for $\frac{5^{-3}}{5^{-7}}$, we have $a = 5$, $m=-3$, $n = - 7$.

Step2: Calculate the exponent

$m - n=-3-(-7)=-3 + 7=4$. So $\frac{5^{-3}}{5^{-7}}=5^{4}$.

Answer:

A. $5^4$