SOLUTION: how do i evaluate the expression 5x3 to the negative 3rd power?

Question 346277: how do i evaluate the expression 5x3 to the negative 3rd power?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
I think you mean "How do I simplify...". Evaluating is when you replace one or more variables with numbers and then simplify. There are no variables in your expression.

Accorsing to the order of operations (aka PEMDAS), we should simplify exponents before mutiplying. In order to raise 3 to the -3 power we need to remember what a negative exponent means. A negative exponent means a reciprocal. In general:

So 3^(-3) = 1/3^3 = 1/3*3*3 = 1/27. So we can replace with 1/27:

Now we can multiply:

And we're finished.
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