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:

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

$=5^(4/4)$

$= 5^1$

$=5$

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