Question

If $5^n÷5^3=5^7$, then find the value of $n$.

• A. $3$
• B. $4$
• C. $5$
• D. $7$
• E. $10$

Answer 1

The correct option is E $10$

Given, $5^n÷5^3=5^7$
$\Rightarrow 5^{n-3}=5^7$ (In case of division of same base exponents get subtracted)
$\Rightarrow n-3=7$ (When base is same exponents will be equal)
$\Rightarrow n=10$