# Thread: Large indeces to standard form

1. ## Large indeces to standard form

Hello everyone,

Please could someone suggest how I can convert the following into standard form using algebra:

$\displaystyle 3^{376}$

2. ## Re: Large indeces to standard form

You want the numeral for this power representation?

Well $\displaystyle 3^{376} = 3^{2\times 188} = 9^{188} = 9^{2\times 94} = 81^{94} = \dots$

3. ## Re: Large indeces to standard form

Thanks for the reply. I need not just the numeral but standard form:

m x 10^n

4. ## Re: Large indeces to standard form

Okay, well the bad news is the basic numeral is a really really big number.

Do you have to show your working or do you just need to know?

Using technology $\displaystyle 3^{376}\approx 2.498\times 10^{179}$

5. ## Re: Large indeces to standard form

It's an example question from an A-level paper - so I'd be allowed a standard calculator. I'd be surprised if my calculator could make the approximation above, so I was expecting there would be an algebraic method of some sort...

Thanks again.