How do you simplify #(a ^ { 2} b ^ { 2} ) ^ { \frac { 1} { 9} }#?

1 Answer
smendyka
Dec 28, 2016

#a^(2/9)b^(2/9)# or #(ab)^(2/9)#

Explanation:

To simplify this expression we need to utilize one of the rules of exponents:

#color(red)((x^a)^b = x^(a*b))#

Therefore:

#(a^2b^2)^(1/9) -> a^(2*1/9)b^(2*1/9) -> a^(2/9)b^(2/9)#

or

#(ab)^(2/9)#

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