Thread: Distribute fractional exponents

Please help with:

y^1/2(y^2/3+y^5/3)

Originally Posted by ostheimerdl

Please help with:

y^1/2(y^2/3+y^5/3)

Now use the property of powers:

Is this pre-calculus?

y^1/2(y^2/3 + y^5/3)
= y^1/2 × y^2/3 + y^1/2 × y^5/3)
= y^(1/2 + 2/3) + y^(1/2 + 5/3)
= y^(7/6) + y^(13/6)
= y^(7/6)[1 + y^(6/6)]
= y^(7/6)[1 + y^(1)]
= y^(7/6)[1 + y]
---