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

1 Answer
Justin
Feb 28, 2017

The answer is #1/36000000#.

Explanation:

Using the Order of Operations or PEMDAS, we evaluate the expression in the parenthesis first. #6 * 10^3# gives us 6000. #6000^-2# can be rewritten or simplified as #1/(6000^2)#. (You can see this by using the Law of Exponents of Subtraction. #6000^-2# can be written as #6000^(0-2)# = #(6000^0)/(6000^2)# = #1/6000^2)#. Then, simplify the denominator and the resulting fraction is #1/36000000#.

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