How do you evaluate (6\times 10^ { 3} ) ^ { - 2}(6×103)2?

1 Answer
Feb 28, 2017

The answer is 1/36000000136000000.

Explanation:

Using the Order of Operations or PEMDAS, we evaluate the expression in the parenthesis first. 6 * 10^36103 gives us 6000. 6000^-260002 can be rewritten or simplified as 1/(6000^2)160002. (You can see this by using the Law of Exponents of Subtraction. 6000^-260002 can be written as 6000^(0-2)600002 = (6000^0)/(6000^2)6000060002 = 1/6000^2)160002). Then, simplify the denominator and the resulting fraction is 1/36000000136000000.