How do you simplify #x^(1/3)*x^(1/5)#?

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Answer 1 · 2016-10-13T18:08:50

# x ^(8/15) #

When you multiply with exponents it is necessary to add the exponents of any like bases

# x^2 xx x^2# = #x^(2+2) = x^4#

So it is necessary to add #1/3+ 1/5# Find a common denominator

for # 1/3 # and # 1/5# The common denominator is 15.

multiply # 1/3 xx 5/5 = 5/15 #

multiply # 1/5 xx 3/3 = 3/15 # add the two fractions.

             total            =    #8/15#

#x^(1/3) xx x^(1/5) = x^(1/3+1/5)#

=#x^(8/15)#