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How do you simplify $(-kv)^2(-kv)^3(-kv)^4$ ?

1 Answer

Sep 29, 2015

$-k^9v^9$

Explanation:

$color(red)((-kv)^2)color(blue)((-kv)^3)color(green)((-kv)^4)$

$color(white)("XXX")=color(red)((-1)^2k^2v^2)*color(blue)((-1)^3k^3v^3)*color(green)((-1)^4k^4v^4)$

$color(white)("XXX")=(color(red)((-1)^2) * color(blue)((-1)^3) * color(green)((-1)^4)) * (color(red)(k^2) * color(blue)(k^3) * color(green)(k^4)) * (color(red)(v^2) * color(blue)(v^3) * color(green)(v^4))$

$color(white)("XXX")=(-1)^9 * k^9 * v^9$

$color(white)("XXX")=-k^9v^9$

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