Question
Vereenvoudig: (3) \( \left(\frac{n^{3} \times n^{4} \div n^{6}}{n^{2}}\right)^{3} \)
Ask by Olson Crawford. in South Africa
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form of the expression is \( \frac{3}{n^{3}} \).
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
Laten we deze uitdrukking stap voor stap vereenvoudigen. Begin met de binnenste termen: \( n^{3} \times n^{4} = n^{3+4} = n^{7} \). Daarna delen we door \( n^{6} \): \( \frac{n^{7}}{n^{6}} = n^{7-6} = n^{1} = n \). Nu hebben we: \( \frac{n}{n^{2}} = n^{1-2} = n^{-1} \). Nu tillen we dit tot de derde macht: \( (n^{-1})^{3} = n^{-3} \). Dus de vereenvoudigde uitdrukking is: \( \frac{1}{n^{3}} \).
