Question 238269
<pre><font size = 4 color = "indigo"><b>
Write the formula for the area of a square, which is
the square of a side:

{{{A = s^2}}}

Swap sides:

{{{s^2=A}}}

Take the square root of both sides

{{{sqrt(s^2)=sqrt(A)}}}

Simplify the left side:

{{{s=sqrt(A)}}}

Write the square root as the {{{1/2}}} power

{{{s=A^(1/2)}}}

Substitute {{{4^1000}}} for {{{A}}}

{{{s=(4^1000)^(1/2)}}}

Indicate the multiplication of the exponents:

{{{s=4^(1000*(1/2))}}}

Do the multiplication of the exponents:

{{{s=4^500}}}

Now write the formula for the perimeter of a square,
which is 4 times a side:

{{{P=4s}}}

Substitute {{{4^500}}} for {{{s}}}

{{{P=4(4^500)}}}

Write the {{{4}}} as {{{4^1}}}

{{{P=4^1*4^500}}}

Indicate the addition of the exponents:

{{{P=4^(1+500)}}}

Do the addition of the exponents:

{{{P=4^501}}}

Leave the answer like that, because that
number is so large it will overflow any 
calculator.

Edwin</pre>