Question 1192841
<pre>
That's not too big to just punch into a scientific or graphing
calculator.  You get the answer immediately as
1.203242085 x 10<sup>15</sup>

That's no fun.

Your teacher should have given you one that will overflow any
calculator's capacity.  Like putting a couple more 9's under
that square root to make it too big for calculators:

{{{matrix(2,1,"",3^sqrt(99999)) }}}

You can't punch that on a calculator.  It'll overflow.
So you'll have to use logarithms.  Set x equal to the quantity

{{{x}}}{{{""="")}}}{{{matrix(2,1,"",3^sqrt(99999)) }}}

Use your calculator to get the exponent {{{sqrt(99999)=316.2261849}}}

{{{x}}}{{{""="")}}}{{{matrix(2,1,"",3^316.2261849)}}}

Take the log (base 10) of both sides:

{{{log((x))}}}{{{""=""}}}{{{matrix(2,1,"",log((3^316.2261849)))}}}

{{{log((x))}}}{{{""=""}}}{{{316.2261849*log((3))}}}

Use your calculator to get the right side:

{{{log((x))}}}{{{""=""}}}{{{150.8782341}}}

Raise 10 to both sides' power:

{{{10^log((x))}}}{{{""=""}}}{{{10^150.8782341}}}

The left side is just x.  The right side is too big for 
calculators, so split the exponent into an integer and
a decimal

{{{x}}}{{{""=""}}}{{{10^(150+0.8782341)}}}

Write the right side as the product of powers of 10

{{{x}}}{{{""=""}}}{{{10^150*10^0.8782341)}}}

Next use your calculator to get {{{10^0.8782341=7.554993627}}}

{{{x}}}{{{""=""}}}{{{10^150*7.554993627)}}}

{{{x}}}{{{""=""}}}{{{7.554993627*10^150)}}}

That's the answer in scientific notation to the problem
I made up.  But that's the way to do them if they're too
big for a calculator.

Edwin</pre>