- #1
DS2C
Solving these seem fairly simple so far. But I don't know why this works. I asked my instructor and she couldn't give me an intuitive reason as to why.
##\sqrt[3]y\cdot\sqrt[5]y^2##
N/A
$$\sqrt[3]y\cdot\sqrt[5]y^2$$
$$y^\frac 1 3\cdot y^\frac 2 5$$
$$y^{11/15}$$
SOLUTION = $$\sqrt[15]y^{11}$$
Why does this work?
Homework Statement
##\sqrt[3]y\cdot\sqrt[5]y^2##
Homework Equations
N/A
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?