How do you simplify #5^(3/4)5^(1/4)#?

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Answer 1 · 2018-01-11T21:21:04

#5#

In algebra we have a process of multiplying with bases and indices.

#x^3 xx x^5 = x^(3+5) = x^8#

If the bases are the same and you are multiplying, add the indices.

Exactly the same applies in this case. The bases are both #5#

#5^(3/4) xx 5^(1/4)" "larr# bases are the same and multiplying:

Keep the same base and add the indices:

#5^(3/4+1/4)#

#=5^(4/4)#

#= 5^1#

#=5#