Solved

Multiplication of Monomials

Posted on 2011-02-24
10
383 Views
Last Modified: 2012-05-11
Evaluate each expression when a=2 and b=-3:

I am sorry I cannot type what's below as -a squared times b to the fourth power.

This is the equation:
-a exponent of 2 b exponent of 4

(-2)(-2)=4
(-3)(-3)(-3)(-3)=81
(4)(81)=324

The correct answer is -324

I don't really know what to do with the negative sign in front of the equation. (-a2ndb4th). Do I multiply (-) times both a2 and b4? Do I add it after I get the answer 324 as the last step? -324.

Thanks.
0
Comment
Question by:kadin
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
  • 5
  • 5
10 Comments
 
LVL 1

Expert Comment

by:mbkirk
ID: 34975888
So you mean (-a)^2 * b^4, where ^ means exponent?

The negative is applied to a, then squared.   So if a=2 and b = -3, it's 2*2+(-3)*(-3)*(-3)*(-3), or 324.

Now negate.  Gives you -324.

Think of it as

0-a^2*b^4

Powers, Parenthesis, Addition, Subtraction, Multiplication, Division.  

0
 
LVL 1

Expert Comment

by:mbkirk
ID: 34975892
Sorry miswrote the first line - you meant "-(a^2)*(b^4) "- rest of my statement still holds.
0
 

Author Comment

by:kadin
ID: 34975899
So when you say "Now negate". I take 324 and add the negative sign to it? -324
0
Independent Software Vendors: We Want Your Opinion

We value your feedback.

Take our survey and automatically be enter to win anyone of the following:
Yeti Cooler, Amazon eGift Card, and Movie eGift Card!

 
LVL 1

Expert Comment

by:mbkirk
ID: 34975908
Right, because you've applied the exponents (first), now multiplication, then negation.

The leading -a is really 0-a.

Also ignore my "powers parenthesis" statement - guess it's the end of a long day.

Powers, Parenthesis, Multiplication,  Division, Addition,  Subtraction.

It's a standard order of operations you can apply here.  The leading "-a" is really saying "0-a", so by order of operations you apply that last to the result of the rest of the equation.

Fully parenthesized, it's 0-(a^2)*(b^4)
0
 

Author Comment

by:kadin
ID: 34975936
Which one of these is the last operation in this case?

Powers, Parenthesis, Multiplication,  Division, Addition,  Subtraction.

It looks like your multiplying 0 or  - (a^2)*(b^4). I thought 0 times any number = 0. So 324 would end up as 0. Or are you just adding the - to the final number 324?
0
 
LVL 1

Accepted Solution

by:
mbkirk earned 500 total points
ID: 34975942
0 is the leading subtraction.  saying "-a" by itself is really saying "0-a".  Since subtraction is the *last* thing you do in the order of operations and powers are the first, you'd do both powers, then the multiplication, then finally subtract the whole mess from 0.

0
 

Author Comment

by:kadin
ID: 34975948
I see. The last step is -4 * 81 = -324.
0
 

Author Closing Comment

by:kadin
ID: 34975957
Got it. Thanks for your help.
0
 

Author Comment

by:kadin
ID: 34975962
Explaining order of operation was very enlightening.

Powers, Parenthesis, Multiplication,  Division, Addition,  Subtraction.
0
 
LVL 1

Expert Comment

by:mbkirk
ID: 34976008
Sure, no problem.
0

Featured Post

On Demand Webinar: Networking for the Cloud Era

Did you know SD-WANs can improve network connectivity? Check out this webinar to learn how an SD-WAN simplified, one-click tool can help you migrate and manage data in the cloud.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

How to Win a Jar of Candy Corn: A Scientific Approach! I love mathematics. If you love mathematics also, you may enjoy this tip on how to use math to win your own jar of candy corn and to impress your friends. As I said, I love math, but I gu…
Article by: Nicole
This is a research brief on the potential colonization of humans on Mars.
Although Jacob Bernoulli (1654-1705) has been credited as the creator of "Binomial Distribution Table", Gottfried Leibniz (1646-1716) did his dissertation on the subject in 1666; Leibniz you may recall is the co-inventor of "Calculus" and beat Isaac…
Finds all prime numbers in a range requested and places them in a public primes() array. I've demostrated a template size of 30 (2 * 3 * 5) but larger templates can be built such 210  (2 * 3 * 5 * 7) or 2310  (2 * 3 * 5 * 7 * 11). The larger templa…

726 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question