How to Simplify a Complicated Equation?

  • Context: Undergrad 
  • Thread starter Thread starter powp
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on the simplification of the equation (\frac{ab^2c^{-3}}{2a^3b^{-4}})^{-2}, which simplifies to \frac{4a^4c^{6}}{b^{12}}. Key rules emphasized include handling negative exponents by flipping the fraction and applying the exponent to each part of a product separately. Participants confirm the correctness of the simplification and suggest using a calculator for verification if needed.

PREREQUISITES
  • Understanding of negative exponents in algebra
  • Familiarity with fraction manipulation
  • Knowledge of exponent rules in algebra
  • Basic skills in using scientific calculators
NEXT STEPS
  • Study the properties of exponents in algebra
  • Learn advanced fraction simplification techniques
  • Practice simplifying complex algebraic expressions
  • Explore calculator functionalities for algebraic computations
USEFUL FOR

Students learning algebra, educators teaching mathematical concepts, and anyone looking to improve their skills in simplifying equations.

powp
Messages
91
Reaction score
0
is this right??

Hello

I am simplifying this right?



[tex](\frac{ab^2c^{-3}}{2a^3b^{-4}})^{-2}[/tex]


[tex]\frac{4a^4c^{6}}{b^{12}}[/tex]


Thanks
P
 
Mathematics news on Phys.org
Yes you have.
 
just remember the simple rules: if its a negative exponent flip the fraction, and if you have a product under the exponent each part is raised to the power separately.

ofcourse you can always just plug it into a calculator if you don't trust yourself at all...
 

Similar threads

  • · Replies 19 ·
Replies
19
Views
4K
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 23 ·
Replies
23
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
21
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K