3
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$$\frac{57^{46}}{17}$$

What is best and quickest way to evaluate an approximate answer to this by hand?

  • 1
    Do you want the result $57^{46} / 17 \approx 3.5 \times 10^{79}$, the quotient, or the remainder?2010-10-25
  • 3
    Some of the answers below are interpreting the question as being $57^{46}$ modulo $17$, or in other words the remainder upon division by $17$. The OP should of course clarify, but given that s/he asks for an "approximate answer", it sounds like s/he really wants the quotient.2010-10-25
  • 7
    @Pete, if the OP has the remainder in mind, an easy approximate answer would be $0\pm 9$ :)2010-10-25
  • 3
    @Mariano: I can get a sharper bound with $8\pm 8$. =)2010-10-25
  • 0
    @Mariano: agreed.2010-10-26
  • 0
    scientific calculators are so cheap nowadays ...2012-04-06
  • 0
    Daniel Tammet suggests listening to the equation and drawing the number. Didn't work for me.2013-06-13

9 Answers 9