How do you simplify (4^(11/5)) (4^(-1/5))?

1 Answer
Alan P.
Mar 22, 2018

(4^(11/5))(4^(-1/5))=color(red)(16)

Explanation:

Remember
[1]color(white)("XXX")a^(-b)=1/(a^b)
and
[2]color(white)("XXX")(p^r)/(p^s)=p^(r-s)

(4^(11/5))(4^(-1/5))

color(white)("XXX")=(4^(11/5)) * (1/(4^5))

color(white)("XXX")=4^(11/5-1/5)

color(white)("XXX")=4^2

color(white)("XXX")=16

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