Solving Exponents Homework: Troubleshooting -a^2b^-1

  • Thread starter Jenninifer
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    Exponents
In summary: You appear to have a new question, but it doesn't make any sense. Please put some expression around it, and use the Latex tags to make it readable. Thanks.
  • #1
Jenninifer
18
0

Homework Statement


Code:
4a^4b^3      -a^3 
---------- x -------
a^5b^6        -(b^2)

Homework Equations





The Attempt at a Solution



(4a^4b^3)(1a^3)
= 4-a^7b^-3
---------------
a^5-b^4

= $-a^2b^-1

WHERE DID I GO WRONG!
 
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  • #2
Jenninifer said:

Homework Statement


Code:
4a^4b^3      -a^3 
---------- x -------
a^5b^6        -(b^2)

Homework Equations





The Attempt at a Solution



(4a^4b^3)(1a^3)
= 4-a^7b^-3
---------------
a^5-b^4

= $-a^2b^-1

WHERE DID I GO WRONG!

I tried wrapping your equation in "code" tags to help the spacing, but even that didn't really help the readability. Can you try using the code tags and some spacing to help readability? Thanks.
 
  • #3
Sorrry I don't know how!
 
  • #4
Let me try in Latex:

[tex]\frac{4a^4 b^3}{a^5 b^6} x \frac{-a^3}{-(b^2)}[/tex]

Did I get that right? You can use the QUOTE button to see how the Latex is formed, and emulate it in your calculations that you're going to do here...

(There's alwo a Latex tutorial stickie post in the Learning Materials forum)
 
  • #5
Yes that's it! I still don't get it though.
 
  • #6
Jenninifer said:
Yes that's it! I still don't get it though.

Get what? How to post in Latex, or how to distribute the exponents and simplify the expression?
 
  • #7
I don't get either. But i just need how to simplify it.
 
  • #8
Well, start small. Start with the original stuff:

[tex]\frac{4a^4 b^3}{a^5 b^6} x \frac{-a^3}{-(b^2)}[/tex]

And just look at the "a" component first:

[tex]\frac{-a^3 * 4a^4}{a^5} [/tex]

when you multiply terms with the same base, you add the exponents, right? And when you divide terms with the same base, you subtract the exponent of the term in the denominator. What do you get by doing that to the above?
 
  • #9
-4a^2?
 
  • #10
How about:
3-3 + 3-4
_____________
3-5
 
  • #11
Jenninifer said:
-4a^2?

Correct for my question.
 
  • #12
Jenninifer said:
How about:
3-3 + 3-4
_____________
3-5

Say what?
 

FAQ: Solving Exponents Homework: Troubleshooting -a^2b^-1

What does the exponent mean in the expression a^2b^-1?

The exponent in the expression a^2b^-1 means to raise the value of a to the power of 2 and divide it by the value of b to the power of -1.

How do I solve the expression a^2b^-1?

To solve the expression a^2b^-1, first simplify the expression by applying the exponent rules. Then, evaluate each term and combine like terms to find the final answer.

What should I do if I encounter negative exponents when solving this expression?

If you encounter negative exponents when solving this expression, remember that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent. For example, a^-2 is equivalent to 1/a^2.

Can I use a calculator to solve this expression?

Yes, you can use a calculator to solve this expression. However, it is important to understand the exponent rules and how to simplify the expression before using a calculator to get the correct answer.

What are some common mistakes to avoid when solving exponents homework?

Some common mistakes to avoid when solving exponents homework include not applying the exponent rules correctly, forgetting to simplify the expression before evaluating, and incorrectly using a calculator. It is important to double check your work and make sure all steps are correct to avoid these mistakes.

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