How do you evaluate #\frac { 1951+ ( - 1) ^ { 3} ( 1957) } { 3.00}#?

1 Answer
Mar 25, 2017

There are no expressions inside parentheses (only numbers), so the order of operations tells us to work with exponents before anything else.

First, let's deal with the #(-1)^3#

#(-1)^3 = (-1)times(-1)times(-1)#

#color(white)"XXXX" = 1 times (-1)#

#color(white)"XXXX" = -1#

So we now have:

#(1951 + (-1)1957)/3.00#

Now, multiply -1 by 1957 to get -1957.

#(1951-1957)/3.00#

Simplify the numerator by subtracting.

#(-6)/3.00#

And finally, simplify the fraction to get your answer.

#-2#

Final Answer