Question

double checking: v=y^-3 :: y=v^-1/3

and what's a good way to remember how to solve these things?

Answer 1

hmm... what's there to solve?

Answer 2

\[v=y ^{-3}\]

\[y=v ^{-1/3}\]

and do the threes in those equations look like twos to anyone else?

Answer 3

no real solving...is that right?

Answer 4

they look good to me, nothing to solve, the equalities are proper

Answer 5

I guess I have an aversion to fractional exponents - I just can never convince myself they are right

Answer 6

hehhe
well, they're very useful for manipulations
just keep in mind that \(\bf \large {a^{\frac{n}{m}} = \sqrt[m]{a^n}\\\quad \\
a^{-\frac{n}{m}} = \cfrac{1}{a^{\frac{n}{m}}} \implies \cfrac{1}{\sqrt[m]{a^n}}\\\quad \\
a^{-n} = \cfrac{1}{a^n}}\)