Question

What is the quotient of 2^4/2^-4

Answer 1

Quotient = 256.

Explanation:

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

To find : What is the quotient.

Solution : We have given that
`(2^(4) )/(2^(-4) )`

By exponent rule 1 :
`(1)/(x^(-m) )` =
`x^(m)`

`(1)/(2^(-4) )` =
`2^(4)`

Then, =
`2^(4)` *
`2^(4)`

On simplification
`2^(4)` = 16

Then 16 *16 = 256

Therefore, Quotient = 256.

Answer 2

ANSWER

The quotient is

`256`

EXPLANATION

The given expression is

`\frac{ {2}^(4) }{ {2}^( - 4) }`


This is the same as


`{2}^(4) * \frac{ 1 }{ {2}^( - 4) }`

We apply the property of exponents given below to rewrite the given expression so that it will have only positive indices.


The property is



`\frac{1}{ {a}^( - m) } = {a}^(m)`

When we apply this property we obtain,



`= {2}^(4) * {2}^(4)`

This simplifies to


`= 16 * 16`

This gives us,


`= 256`