How do you simplify $[(4^2)^3]^2$ ?

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Answer 1 · 2017-05-20T10:33:26

$4^12$

According to the 4th index law

$(a^x)^y$

$a^(x xx y)$

$(4^2)^3)^2$

$(4^(2xx3))^2$

$(4^6)^2$

$4^(6xx2)$

$4^12$

Answer 2 · 2017-05-20T10:38:26

$4^12$

For reference, the index law used here is
$(a^x)^y=a^(xy)$

So. You just apply that index law step by step until there are no more brackets.
$[(4^2)^3]^2$
$=(4^2)^(3xx2)$
$=(4^2)^6$
$=4^(2xx6)$
$=4^12$

That's the simplified answer, which is what you asked for, but if you wanted the answer without any indices;
$4^12=16,777,216$

Hope that helps! :)

How do you simplify [(4^2)^3]^2[(4^2)^3]^2?