Algebra 2 exponents

Question

rewrite y^-2/5 using √ without fractional or negative exponents

Answer 1

In general, radicals should never appear in denominators.

y^(-2/5) = 1 / ( y^(2/5)) * [ (y^(3/5)) / (y^(3/5)]

= [ y^(3/5) ] / [ y^(5/5)] = [ y^(3/5) ] / y = (³√y⁵)/y

I used the carat because the superscript is extremely flaky. I was able to get it to work properly at the end.

Answer 2

y^-(2/5) = y^-.4 = 1/y^.4

Answer 3

y^-2/5

1 / y^2/5

1 / ⁵√(y²)