the exponent gets distributed to what is inside the parentheses only. So, if you raise it to the 3rd power, the equation with the parenthesis expanded is the equivalent of:
-(-5 * -5 * -5)
-(25 * - 5) ==> the -5 * -5 because a 25 b/c ( - )( - ) = ( + )
-(-125) ==> the 25 * -5 is a -125 b/c ( + )( - ) = ( - )
Comments
-5 in in () so it is first, so we have -5.
Exponentials come before multiplication (- sign counts as multiplication on -1) so we have
(-5)^3 = -125
then the - sign makes it
--125 = 125
ok....
the exponent gets distributed to what is inside the parentheses only. So, if you raise it to the 3rd power, the equation with the parenthesis expanded is the equivalent of:
-(-5 * -5 * -5)
-(25 * - 5) ==> the -5 * -5 because a 25 b/c ( - )( - ) = ( + )
-(-125) ==> the 25 * -5 is a -125 b/c ( + )( - ) = ( - )
125 ==> double negative is a positive
So, the answer is 125.
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in the order of operations you do things in parentheses, then multiply/divide from left to right, then add/subtract from left to right
so with
-(-5)^3
first you do (-5)^3
-5 x -5 x -5 = -125
leaving you with
-(-125) = 125
That's -(-125) or 125. Do the parentheses first.
The five is positive... so it's five to the third power. So 5X5X5 = 125
-(-5)^3
-[(-5)(-5)(-5)]
-(-125)
125
125
using PODMAS