Solving these seem fairly simple so far. But I don't know(adsbygoogle = window.adsbygoogle || []).push({}); whythis works. I asked my instructor and she couldn't give me an intuitive reason as to why.

1. The problem statement, all variables and given/known data

##\sqrt[3]y\cdot\sqrt[5]y^2##

2. Relevant equations

N/A

3. The attempt at a solution

$$\sqrt[3]y\cdot\sqrt[5]y^2$$

$$y^\frac 1 3\cdot y^\frac 2 5$$

$$y^{11/15}$$

SOLUTION =$$\sqrt[15]y^{11}$$

Why does this work?

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# Homework Help: Looking for Intuitive Reasoning Behind Rational Exponents

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