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1. Indices
Below is a question on indices I'm stuck on.

Write the following as a power of 2.

I don't understand how to start it off and do it and need help.

Thanks for help provided.
2. Re: Indices
What is 2 as a power of 2? What is sqrt(2) as a power of 2? What do you do to the powers when you multiply 2 numbers together?
Last edited by james22; 05-07-2012 at 17:03.
3. Re: Indices
(Original post by james22)
What is2 as a power of 2? What is sqrt(2) as a power of 2? What do you do to the powers when you multiply 2 numbers together?
2^2=4

square root 2 and then sqaured gives just 2.

4. Re: Indices
How would you write '2' in terms of powers of '2'? Well 2^0 is 1. 2^1 is 2. 2^2 is 4, etc.

How would you write 'root 2' in terms of powers of '2'? Well, it'll be a power to a fraction, you just need to remember which one.

Then, because you're multiplying the numbers, you add the powers.
5. Re: Indices
(Original post by krisshP)
2^2=4

square root 2 and then sqaured gives just 2.

No, I said what is 2 as a power of 2, i.e. write 2 in the for 2^x. Do the same for sqrt (2).
Last edited by james22; 05-07-2012 at 17:04.
6. Re: Indices
"Write down the following as a power of 2," means the same thing as "Set it equal to 2^x, find x, and write down 2^x."

Note that, as mentioned above, .

So if and , then .
7. Re: Indices
The answer is 2. as I dont think you can have the square root of two so you simply square 2 which is 4, then 2 squared equals 4 so the initial answer is 2. (well i think it is )
8. Re: Indices

working out:

The above is like saying:

2/2 + 1/2 = 3/2

9. Re: Indices
(Original post by krisshP)

working out:

The above is like saying:

2/2 + 1/2 = 3/2

This is correct
10. Re: Indices
(Original post by james22)
This is correct

as a power of 2.
??
11. Re: Indices
All you need are the answers to the following questions:

What is cbrt(x) as a power of x?

What is 16 as a power of 2?

What is the (x^a)^b as a power of x?

With just that, you should be able to solve the problem.
Last edited by aznkid66; 05-07-2012 at 19:06. Reason: Changed it to be more hint-y.
12. Re: Indices
(Original post by krisshP)

as a power of 2.
??
what is 16 as a power of 2
13. Re: Indices

Thanks a lot.