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# My exponent of 10

0
409
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Hello, I don't understand when I calculate .006708 to the 180, answer is zero.

Jul 20, 2017

#1
+7347
+1

It is so close to zero that this calculator just says it is equal to zero.

There is a way to do this though, like Melody did it in this question.

0.006708180  =  n

Take the  log10  of both sides.

log( 0.006708180 )  =  log( n )

180 log( 0.006708 )  =  log( n )

-391.213  ≈  log( n )

10-391.213  ≈  n

10-391 * 10-0.213  ≈  n

10-391 * 0.612  ≈  n

So...in scientific notation...

0.006708180  ≈  6.12 * 10-392

And WolframAlpha agrees with this answer...here

Jul 20, 2017

#1
+7347
+1

It is so close to zero that this calculator just says it is equal to zero.

There is a way to do this though, like Melody did it in this question.

0.006708180  =  n

Take the  log10  of both sides.

log( 0.006708180 )  =  log( n )

180 log( 0.006708 )  =  log( n )

-391.213  ≈  log( n )

10-391.213  ≈  n

10-391 * 10-0.213  ≈  n

10-391 * 0.612  ≈  n

So...in scientific notation...

0.006708180  ≈  6.12 * 10-392

And WolframAlpha agrees with this answer...here

hectictar Jul 20, 2017
#2
0

It looks like an interest rate of 8.05% compounded monthly for 15 years??!! If so, you would divide it by 1,200 to get =0.006708. But, if you want to compound it, then you have to add 1 to it =1.006708^180 =3.33145207....etc.

Jul 20, 2017
#3
+1246
+1

Hummm ... Computer analysis indicates that this is a carefully prepared a condiment for an idiot sandwich. A certain someone makes dozens of these a day. Most of them he eats himself, but this one he’s sharing with the forum. It’s not too bad; just add some mustard and cyanide and this brain-dead moment might be really good.

GingerAle  Jul 21, 2017
#4
0

Welcome to the web2.0calc forum.

My fist piece of advise is to make sure you're really are asking the question that you need answered.

No one here, with the possible exception of GingerAle, is a mind reader.

MelodyJul 16, 2017

Guest Jul 21, 2017