Question

solve: y^4/=34

Answer 1

Is this your question
\[y^4=34\]
???

Answer 2

y^4/5=34 sorry

Answer 3

We have
\[\frac{y^4}{34}=5\]
multiply both sides by 34, we get
\[y^4=170\]
as here the power of y is 4 so this equation will have 4 roots or zeros
\[y^2= \pm(170)^{\frac{1}{2}}\]
so
\[\huge y= \pm (170)^{\frac{1}{4}}, \pm i (170)^{\frac{1}{4}}\]
where i = \(\large \sqrt{-1}\)

Answer 4

Do you understand this?

Answer 5

Yes :) but i meant for the exponent to be the fraction 4/5, like y^(4/5)=34

Answer 6

Oh:(

Answer 7

Then we have
\[y^{\frac{4}{5}}=34\]
so, reverse the powers
\[\huge y=34^{\frac{5}{4}}\]

Answer 8

Did you understand this?

Answer 9

Yep, is that the final answer?

Answer 10

Yeah, actually we had
\[y^{\frac{4}{5}}=34\]
Raise both sides to a power of 4/5
\[\large y^{\frac {4}{5} \times \frac{5}{4}}=34^{\frac{5}{4}}\]
so
we get
\[y^1=34^{\frac{5}{4}}\]
or
\[\huge y=34^{\frac{5}{4}}\]

Answer 11

Do you get this?

Answer 12

yep thanks!