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{4}^(4) = {2}^(n)
what number is n​

1 Answer

4 votes

Answer:

n = 8

Explanation:

Using the rule of exponents


(a^(m)) ^(n) =
a^(mn)

note that 4 = 2² , thus


(2^(2)) ^(4) =
2^(n) , that is


2^(8) =
2^(n)

Since bases on both sides are equal, equate the exponents

n = 8

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