Question

Using laws of exponents, simplify and write the answer in exponential form :

$\frac{6^{15}}{6^{10}}$

Answer 1

Given $\frac{6^{15}}{6^{10}}$

Let $a=\frac{6^{15}}{6^{10}}$

As we know that, $\frac{a^m}{a^n}=a^{m-n}$

$a=6^{15-10}$

$a=6^5=7776$

$\therefore \frac{6^{15}}{6^{10}}=7776$