How do you simplify (125^(2/9)*125^(1/9))/5^(1/4)?

1 Answer
Aug 10, 2016

=3.34

Explanation:

(125^(2/9) .125(1/9))/5^(1/4)
=(125^(2/9+1/9))/5^(1/4)
=(125^(3/9))/5^(1/4)
=(125^(1/3))/5^(1/4)
=root3(125)/5^(1/4)
=(root3(5times5times5))/5^(1/4)
=5/5^(1/4)
=5^(1-1/4)
=5^(3/4)
=root4(5^3)
=3.34