How do you solve $(2^a)^4=2^8$ ?

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Answer 1 · 2016-11-22T18:33:34

This is a problem based on the concepts of indices or exponents.

$(2^a)^4=2^8$ . [Given]
$:.2^(4a)=2^8$ .

Since, the numbers on which the powers are present are same, so,

$4a=8$ .
$:.a=2$ . (answer).

How do you solve (2^a)^4=2^8(2^a)^4=2^8?