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Math Help - Large indeces to standard form

  1. #1
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    Large indeces to standard form

    Hello everyone,

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

    3^{376}
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  2. #2
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    Re: Large indeces to standard form

    You want the numeral for this power representation?

    Well 3^{376} = 3^{2\times 188} = 9^{188} = 9^{2\times 94} =  81^{94} = \dots
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  3. #3
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    Re: Large indeces to standard form

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

    m x 10^n
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  4. #4
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    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 3^{376}\approx 2.498\times 10^{179}
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  5. #5
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    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.
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