How do you simplify $4^2 * 4^(1/2)$ ?

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Answer 1 · 2017-07-04T15:12:29

$32$

We can simplify this by using prime factors for the bases.

$color(blue)(4)^2 xx color(blue)(4)^(1/2)$

$=(color(blue)(2^2))^2 xx (color(blue)(2^2))^(1/2)" "larr$ multiply the indices

$=2^4 xx 2^1$

$=2^5$

$=32$

How do you simplify 4^2 * 4^(1/2)4^2 * 4^(1/2)?