armencrasher
armencrasher armencrasher
  • 18-12-2019
  • Mathematics
contestada

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

Respuesta :

jitumahi456 jitumahi456
  • 30-12-2019

Answer:

[tex]2^8[/tex]

Step-by-step explanation:

To find the quotient of:

[tex]\frac{2^4}{2^{-4}}[/tex]

Solution:

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

By Quotient rule: [tex]\frac{a^x}{a^y}=a^{(x-y)}[/tex]

Thus the quotient for the expression can be given as:

[tex]\frac{2^4}{2^{-4}}[/tex]

⇒ [tex]2^{(4-(-4))}[/tex]

⇒ [tex]2^{(4+4)}[/tex]

⇒ [tex]2^8[/tex] (Answer)

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