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# Power of n

1. How would u solve:
3X27^1/2= 3^n
2. (Original post by Sophhhowa)
How would u solve:
3X27^1/2= 3^n
Is that ?
3. (Original post by SeanFM)
Is that ?
Yeah
4. (Original post by Sophhhowa)
Yeah
What have you tried?

Hint:
Spoiler:
Show
If everything on the left is a power of 3 then it is fairly easy to work out what n is)
5. (Original post by SeanFM)
What have you tried?

Hint:
Spoiler:
Show
If everything on the left is a power of 3 then it is fairly easy to work out what n is)
Why is it a power of 3?
Sorry I've never actually been taught how to do this so I'm completely lost
6. (Original post by Sophhhowa)
Why is it a power of 3?
Sorry I've never actually been taught how to do this so I'm completely lost
If you had for example you would know that by law of indices a + b = 5.

Can you apply a similar logic here to find n?
7. (Original post by SeanFM)
If you had for example you would know that by law of indices a + b = 5.

Can you apply a similar logic here to find n?
Yh I get that but surely to be able to add the indices the 3 and 27 would have to be the same number? How do I do that?
8. (Original post by Sophhhowa)
Yh I get that but surely to be able to add the indices the 3 and 27 would have to be the same number? How do I do that?
Exactly right! That is the first step of the problem!

If I asked you to write 27 as a power of 3, what would you say?

9. (Original post by SeanFM)
Exactly right! That is the first step of the problem!

If I asked you to write 27 as a power of 3, what would you say?

Sorry I have no clue how to do that
10. (Original post by Sophhhowa)
Sorry I have no clue how to do that
No worries, if I say that 27 = 3 * 9... can you break that down further so that you can write 27 as 3^(...)?
11. (Original post by Sophhhowa)
Sorry I have no clue how to do that
Actually is it 3^3?
12. (Original post by Sophhhowa)
Actually is it 3^3?
So 3^1X3^3= 3^4
So n is 4?
13. (Original post by Sophhhowa)
So 3^1X3^3= 3^4
So n is 4?
Very very close remember that it's 3*27^(1/2) though, not 3*27.
14. (Original post by Sophhhowa)
So 3^1X3^3= 3^4
So n is 4?
No n is 2.5 coz it's 3^2/3

15. Should be able to solve from there!

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