How do you simplify 27^(-2/3)?

1 Answer
Jim G.
Jun 25, 2017

1/9

Explanation:

"using the "color(blue)"laws of exponents"

color(red)(bar(ul(|color(white)(2/2)color(black)(a^-mhArr1/a^m ; a^(m/n)hArr(root(n)(a))^mcolor(white)(2/2)|)))

rArr27^(-2/3)=1/27^(2/3)=1/(root(3)(27))^2=1/3^2=1/9

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