SOLUTION: If the area of a square is 4 to the one-thousandth power what is the perimeter?

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Question 238269: If the area of a square is 4 to the one-thousandth power what is the perimeter?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

Write the formula for the area of a square, which is
the square of a side:

A+=+s%5E2

Swap sides:

s%5E2=A

Take the square root of both sides

sqrt%28s%5E2%29=sqrt%28A%29

Simplify the left side:

s=sqrt%28A%29

Write the square root as the 1%2F2 power

s=A%5E%281%2F2%29

Substitute 4%5E1000 for A

s=%284%5E1000%29%5E%281%2F2%29

Indicate the multiplication of the exponents:

s=4%5E%281000%2A%281%2F2%29%29

Do the multiplication of the exponents:

s=4%5E500

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

P=4s

Substitute 4%5E500 for s

P=4%284%5E500%29

Write the 4 as 4%5E1

P=4%5E1%2A4%5E500

Indicate the addition of the exponents:

P=4%5E%281%2B500%29

Do the addition of the exponents:

P=4%5E501

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

Edwin