MYTUTOR SUBJECT ANSWERS

539 views

How do I simplify fully (p^3 x p^4)/p^2?

At first this looks quite daunting as it combines a number of different indices (powers) and a fraction. 

The rules for indices are just something that you have to learn - so don't worry if you don't know them yet. Once you do, the answer to this problem will be clear. 

First, let's step back from the question and learn the rules:

x^2 x x^4 = x^6 (the indices are added together)

x^8 / x^3 = x^5 (the second index is subtracted from the first)

Remeber that this only works when the base number (in this case 'x') is the same!

Second, let's look at the question. Let's start with the numerator (top) of the fraction. When the base number is the same (in this case 'p') and being multiplied, the indices are added together. So the top of the fracticion can be simplified to get: p^7.

That means we are now left with: p^7/p^2.

Next, we are going to consider how to simplify the fraction. We need to subtract the value of the denominator's index from the numerator's index. Therefore, we are left with p^5. 

And there is your answer! So (p^3 x p^4)/p^2 simplified is p^5.

If you want to practice, try this one: (x^10)/(x^2 x x^6).

Emily R. 13 Plus  English tutor, 11 Plus English tutor, GCSE English ...

9 months ago

Answered by Emily, a GCSE Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

558 SUBJECT SPECIALISTS

£22 /hr

Xanthe W.

Degree: Biological Sciences with a Year in Industry/Research (Bachelors) - Imperial College London University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

Arjun P. GCSE Economics tutor, A Level Economics tutor, 11 Plus Maths...
£18 /hr

Arjun P.

Degree: Politics, Philosophy and Economics (Bachelors) - Warwick University

Subjects offered:Maths, Science+ 5 more

Maths
Science
Latin
English
Economics
.TSA. Oxford.
-Personal Statements-

“I am a passionate and dedicated student, with over a year of tutoring experience. I am excited to help you improve!”

£20 /hr

Ellen T.

Degree: Economics (Bachelors) - LSE University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Economics
-Personal Statements-

“Hi! I study Economics at LSE. With previous tutoring experience, I am keen to provide genuine advice and create an engaging learning environment. ”

About the author

Emily R.

Currently unavailable:

Degree: Law with Spanish Law (Bachelors) - Oxford, Magdalen College University

Subjects offered:Maths, Spanish+ 3 more

Maths
Spanish
English
.LNAT.
-Oxbridge Preparation-

“Hi, I'm Emily! I am a third-year Law with Spanish Law student at the University of Oxford and currently on my year-abroad in Spain. Whilst I am new to mytutor, I have previous experience of tutoring Maths and English for KUMON UK. I...”

You may also like...

Other GCSE Maths questions

solve the quadratic: 2x^2 - 8x + 6

Bag A contains £7.20 in 20p coins. Bag B contains only 5p coins. The number of coins in bag B is three-quarters of the number of coins in bag A. How much money is in bag B?

Solve x^2 + x -12= 0 for all values of x.

Solve the simultaneous equations: 3a + 2b = 17 and 4a - b = 30

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok