Question

If x^3=y^9, what is x in terms of y?

√(y)

y^2

y^3

y^6

y^12

Answer 1

Hint:
y^9=(y^3)^3

Answer 2

here i need to solve for x

Answer 3

x^3=y^9=(y^3)^3
what can you say about x?

Answer 4

\[(x)^3=(y^3)^3\]

Answer 5

@henpen so its y^9?

Answer 6

Not quite.
x^3 is y^9, so what is x (hint: x is the cube root of x^3)?

Answer 7

idk

Answer 8

If
\[a ^{3}\ = b^{3}\]
what can you say about a and b?

Answer 9

what can I say? u mean, what the values of a and b are?

Answer 10

We don't know a nor b, but there is a relationship between a and b we can say.
For example,
x^3=4^3,
what can you say about x?

Answer 11

\[x^3=4^3\]
Means: there is some number, that when you cube it it spits out the same number as if you were to cube 4.

Answer 12

right

Answer 13

So what is the value of x in this case?

Answer 14

y^3?

Answer 15

Is you answer for the original question or the example x^3=4^3?

Answer 16

question

Answer 17

Good job! Is everything clear how you would go about solving a similar problem, such as:
y^5=x^15,
Can you express y in terms of x?

Answer 18

yes. thnx a lot!

Answer 19

You're welcome! :)

Answer 20

y^5=x^15

x=y^(1/3)

Answer 21

That is correct for x in terms of y.
What about y in terms of x?

Answer 22

y= x^3

Answer 23

Perfect! I can see that you understand the concept!

Answer 24

I didnt understand it at first when i was asking the question :)

Answer 25

That's why we're all here, to get things cleared up.