How do you multiply numbers with large exponents?

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How do you multiply numbers with large exponents?

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Answer 1 · 2016-05-19T18:52:46

See explanation. Other contributors may chose to offer other potential examples.

Explanation:

It all depends on the numbers.

Suppose you had $3^{56} \times 12^{87}$ $3^56xx12^87$

$One possible approach could be:$ $color(blue)("One possible approach could be:")$

$log (3^{56}) + log (12^{87}) \to [56 \times log (3)] + [87 \times log (12)]$ $log(3^56)+log(12^87)" "->" "[56xxlog(3)]+[87xxlog(12)]$

$\Rightarrow 3^{56} \times 12^{87} \to {log}^{- 1} (. [56 \times log (3)] + [87 \times log (12)] .)$ $=>3^56xx12^87" "->" "log^(-1)(color(white)(.)[56xxlog(3)]+[87xxlog(12)]color(white)(.))$

In the 'old days' they called this the 'antilog' which is the reversing process so that you go from log back to source number

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How do you multiply numbers with large exponents?

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