janayehia23 janayehia23

07-10-2020
Mathematics

contestada

[tex] {4}^{4} = {2}^{n} [/tex]
what number is n

Respuesta :

jimrgrant1 jimrgrant1

07-10-2020

Answer:

n = 8

Step-by-step explanation:

Using the rule of exponents

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

note that 4 = 2² , thus

[tex](2^{2}) ^{4}[/tex] = [tex]2^{n}[/tex] , that is

[tex]2^{8}[/tex] = [tex]2^{n}[/tex]

Since bases on both sides are equal, equate the exponents

n = 8

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