Question

Simplify the following, using 2nd law, $a^{m} \div a^{n}=a^{m-n} : \frac {4^{5}} {{4^{10}}}$

Answer 1

4^(5-10) = 4^(-5) or 1/4^5

Answer 2

Answer:

$\frac{1}{4^{5} }$

Step-by-step explanation:

According to the question

we have to use the 2nd law.

$a^{m}\div a^{n} = a^{m\ -\ n}$

The following expression is

$\frac{4^{5} }{4^{10}}$

It can be written as

$4^{5}\div4^{10}$

= $4^{5\ -\ 10}$  (According to the 2nd law)

= $4^{-5}$

= $\frac{1}{4^{5} }$ (Answer)