Question

What is the quote that of 2^4/2^-4

Answer 1

`2^8`

Explanation:

To find the quotient of:

`(2^4)/(2^(-4))`

Solution:

We will apply quotient rule of exponents to find the quotient of the given expression.

By Quotient rule:
`(a^x)/(a^y)=a^((x-y))`

Thus the quotient for the expression can be given as:

`(2^4)/(2^(-4))`

⇒
`2^((4-(-4)))`

⇒
`2^((4+4))`

⇒
`2^8` (Answer)