How do you simplify # (2x^4y ^-3)^- 1#?

1 Answer
Jim G.
Nov 2, 2016

#(y^3)/(2x^4)#

Explanation:

Using the #color(blue)"laws of exponents"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)((a^mb^n)^p=a^(mp)b^(np)" and " a^-mhArr1/a^m))color(white)(2/2)|))#

#rArr(2x^4y^-3)^-1#

#=2^-1x^-4y^3=1/2^1xx1/x^4xxy^3/1#

#=(1xx1xxy^3)/(2xxx^4xx1)=(y^3)/(2x^4)#

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