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# Algebra help watch

1. (Original post by MattH.93)
(3root(t) * root(t^3) ) / t^(5/2)
3root(t) = t1/3
root(t^3) = (t3)1/2 = t3/2

( t1/3 x t3/2 ) / t5/2
When you multiply indices with the same base (t) you add the powers
= t(1/3 + 3/2) / t5/2
Change denominator of fractions so you can add them
=t(2/6 + 9/6) / t5/2
= t 11/6 / t5/2
When you divide indices with the same base (t) you subtract the powers
= t (11/6 - 5/2)
Change denominator of fractions so you can subtract them
= t(11/6 - 15/6)
= t -4/6
Simplify fractional power
= t-2/3

so much work why not just
( t1/3 x t3/2 ) / t5/2 = t^(1/3+3/2-5/2)= t^(1/3-1)= t^(2/3)

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Updated: October 14, 2017
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