How do you simplify $((r^3v^-2)/t^-7)$ ?

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Answer 1 · 2017-06-16T20:32:11

$(r^3t^7)/v^2$

Apply the law of indices for negative exponents:

$x^-m = 1/x^m " "and" " 1/y^-n = y^n$

There are two negative exponents which need attention.
Apply the laws to make them positive.

$(r^3 color(red)(v^-2))/color(blue)(t^-7)$

$= (r^3 color(blue)(t^7))/(color(red)(v^2)$

How do you simplify ((r^3v^-2)/t^-7)((r^3v^-2)/t^-7)?