How do you evaluate #\frac { - 5+ 4^ { 3} - ( - 1) ^ { 2} } { 2- ( - 3) ^ { 3} }#?

1 Answer
Meave60
Aug 1, 2017

#(-5+4^3-(-1)^2)/(2-(-3)^3)=color(purple)2#

Explanation:

Evaluate (Simplify):

#(-5+color(red)(4^3)-(color(teal)(-1))^color(teal)(2))/(2-(color(magenta)(-3)^color(magenta)(3))#

According to PEMDAS, the order of operations is parentheses/brackets, exponents, multiplication and division from left to right, and addition and subtraction from left to right.

There are no operations inside parentheses, so we start with exponents.

#(-5+color(red)64-color(teal)1)/(2-(-color(magenta)27))#

Now add and subtract from left to right.

#58/(2+27)#

Simplify.

#58/29#

Simplify.

#2#

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