(2^3+3^3)/(2^3+2(-3)-3^2)

Question

Evaluate the following expression

Answer 1

Eve,

 

The order that you do the various operations is important.  The order in which to do them is PEMDAS which stands for:
Parenthesis

Exponential

Multiply

Divide

Add

Subtract

 

So we have to solve the equations inside the parenthesis before we tackle the division sign, the exponents before the addition and subtraction, etc.  Here's our solution:

 

(2^3 + 3^3) / (2^3 + 2(-3) - 3^2) =

(2*2*2 + 3*3*3) / (2*2*2 + 2*(-3) - 3*3) =

(8 + 27) / (8 + (-6) - 9) =

35 / (-7) =

-5