Hello everyone,

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

$\displaystyle 3^{376}$

Printable View

- Sep 12th 2011, 02:24 PMmabentleyLarge indeces to standard form
Hello everyone,

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

$\displaystyle 3^{376}$ - Sep 12th 2011, 02:32 PMpickslidesRe: 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 $ - Sep 12th 2011, 02:47 PMmabentleyRe: Large indeces to standard form
Thanks for the reply. I need not just the numeral but standard form:

m x 10^n - Sep 12th 2011, 02:52 PMpickslidesRe: 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 $\displaystyle 3^{376}\approx 2.498\times 10^{179}$ - Sep 12th 2011, 03:03 PMmabentleyRe: 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.