Question

evaluate. write your answer as a whole number or as a simplified fraction.
$7^{5}cdot7^{-3}=$

Explanation:

Step1: Use exponent - product rule

According to the rule $a^m\cdot a^n=a^{m + n}$, for $a = 7$, $m = 5$ and $n=-3$, we have $7^5\cdot7^{-3}=7^{5+( - 3)}$.

Step2: Simplify the exponent

Calculate $5+( - 3)=5 - 3 = 2$. So $7^{5+( - 3)}=7^2$.

Step3: Evaluate the power

$7^2=7\times7 = 49$.

Answer:

49