How do you simplify $4^6/4^8$ ?

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Answer 1 · 2016-01-22T11:59:18

$1/16$

using : $a^m = 1/a^-m hArr a^-m = 1/a^m$

then : $4^6/4^8 = 1/4^(8 - 6 ) = 1/4^2 = 1/16$

Answer 2 · 2016-02-08T14:09:47

$=1/16$

$4^6/4^8$

$color(green)(4^6=4*4*4*4*4*4$

$color(blue)(4^8=4*4*4*4*4*4*4*4$

So,

$4^6/4^8=$

$rarrcolor(green)(4*4*4*4*4*4)/color(blue)(4*4*4*4*4*4*4*4)$

$rarrcolor (green)(cancel4*cancel4*cancel4*cancel4*cancel4*cancel4)/color(blue)(cancel4*cancel4*cancel4*cancel4*cancel4*cancel4*4*4)=$

$rarrcolor(green)1/color(blue)(4*4)=color(green)1/color(blue)16$

How do you simplify 4^6/4^84^6/4^8?