Question

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

Answer 1

Answer:

Quotient = 256.

Step-by-step explanation:

Given : $\frac{2^{4} }{2^{-4} }$

To find : What is the quotient.

Solution : We have given that  $\frac{2^{4} }{2^{-4} }$

By exponent rule 1 :  $\frac{1}{x^{-m} }$ = $x^{m}$

$\frac{1}{2^{-4} }$ = $2^{4}$

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

${2}^{4} \times \frac{ 1 }{ {2}^{ - 4} }$

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,


$= {2}^{4} \times {2}^{4}$

This simplifies to

$= 16 \times 16$

This gives us,

$= 256$