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avatar+189 

\((-2)^4 - 2^4 + (-3)^3 - 3^3\)

 

I was wondering how to attack this problem

 May 3, 2020

Best Answer 

 #1
avatar+652 
+1

Ok here's my solution, 

 

\(\begin{align*} (-2)^4 &= (-2)(-2)(-2)(-2) = 16,\\ 2^4 &= 2\cdot 2\cdot 2\cdot 2 = 16,\\ (-3)^3&= (-3)(-3)(-3) = (9)(-3) = -27,\\ 3^3 &= 3\cdot3\cdot3 = 27, \end{align*}\)

\((-2)^4 -2^4 + (-3)^3 - 3^3 = 16-16 -27-27 = \boxed{-54}.]\)

 

So the thing to take away in this question is to always remember that in solving these questions the order of operations in KEY!!!

 

coolsmileycool

 May 3, 2020
 #1
avatar+652 
+1
Best Answer

Ok here's my solution, 

 

\(\begin{align*} (-2)^4 &= (-2)(-2)(-2)(-2) = 16,\\ 2^4 &= 2\cdot 2\cdot 2\cdot 2 = 16,\\ (-3)^3&= (-3)(-3)(-3) = (9)(-3) = -27,\\ 3^3 &= 3\cdot3\cdot3 = 27, \end{align*}\)

\((-2)^4 -2^4 + (-3)^3 - 3^3 = 16-16 -27-27 = \boxed{-54}.]\)

 

So the thing to take away in this question is to always remember that in solving these questions the order of operations in KEY!!!

 

coolsmileycool

LuckyDucky May 3, 2020
 #3
avatar+189 
+1

Thanks, Ducky! but what about factorials and brackets how do they fit in?

SoggyPerson  May 3, 2020
 #4
avatar+112185 
0

Excellent, LD!!!!!!

 

 

cool cool cool

CPhill  May 3, 2020
 #5
avatar+652 
+2

This image is excellent I recommend to view it!

 

https://www.google.com/url?sa=i&url=https%3A%2F%2Fwww.onlinemath4all.com%2Fgemdas-order-of-operations.html&psig=AOvVaw3v8y-v4md6S_WjSpIc2j7Q&ust=1588636312946000&source=images&cd=vfe&ved=0CAIQjRxqFwoTCODHq8vxmOkCFQAAAAAdAAAAABAD

LuckyDucky  May 3, 2020
 #6
avatar+189 
+2

Thx!

SoggyPerson  May 3, 2020
 #2
avatar
+1

-2= 16

- 2^4 =  - 16

-3^3 = -27

-3^3 =  - 27

 May 3, 2020
 #7
avatar+131 
+3

That's an Art of Problem Solving question from Intro to Algebra... I took that...

 

DON'T ASK AOPS QUESTIONS

 

We are not here to do your work for you...

 May 4, 2020

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