Simplify #(81/16)^(-3/9)#?

1 Answer
Jim G.
Apr 27, 2018

#(root(3)(16))/(root(3)(81))#

Explanation:

#"note that "-3/9=-1/3#

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

#•color(white)(x)a^-mhArr1/a^m#

#•color(white)(x)a^(m/n)hArr(root(n)a)^m#

#rArr(81/16)^(-1/3)#

#=1/(81/16)^(1/3)=1/(root(3)(81)/root(3)(16))=(root(3)(16))/(root(3)(81)#

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