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

2 Answers

4 votes

Answer:

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.

User Dangling Cruze
by
8.7k points
3 votes
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
User Eric Hansander
by
8.5k points

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