Question

Simplify the following:
$\left(\frac{5^{-4}}{5^{-6}}\right)\times 5^3$

• A. $5^5$
• B. $5^{-5}$
• C. $4^5$
• D. None of these

Answer 1

The correct option is A $5^5$

we know that,

$\because \frac{a^m}{a^n}=a^{m-n}$

so,

$\frac{5^{-4}}{5^{-6}}=5^{6-4}$

$=5^2$

$\because a^m\ast a^n=a^{m+n}$

now,

$5^2\ast 5^3=5^5$