ammumanesh2011 ammumanesh2011
  • 01-11-2020
  • Mathematics
contestada

2^m ÷ 2^ -4 = 4^5 pls help

Respuesta :

devishri1977
devishri1977 devishri1977
  • 02-11-2020

Answer:

m = 6

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{-n}}=a^{m+n}\\\\[/tex]

2^m ÷ 2^ -4 = 4^5

[tex]\frac{2^{m}}{2^{-4}}=(2^{2})^{5}\\\\\\2^{m+4} = 2^{2*5}\\\\2^{m+4} = 2^{10}[/tex]

Compare the powers,

m + 4 = 10

       m = 10 - 4

       m = 6

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