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

Guest Jul 20, 2017

#1**+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.

0.006708^{180} = n

Take the log_{10} of both sides.

log( 0.006708^{180} ) = 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...

0.006708^{180} ≈ 6.12 * 10^{-392}

And WolframAlpha agrees with this answer...here

hectictar
Jul 20, 2017

#1**+1 **

Best Answer

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.

0.006708^{180} = n

Take the log_{10} of both sides.

log( 0.006708^{180} ) = 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...

0.006708^{180} ≈ 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.

Guest Jul 20, 2017

#3**+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