MYTUTOR SUBJECT ANSWERS

407 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 ...

7 months ago

Answered by Emily, a GCSE Maths tutor with MyTutor


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

461 SUBJECT SPECIALISTS

£24 /hr

Sioned D.

Degree: Law (Bachelors) - University College London University

Subjects offered:Maths, History+ 4 more

Maths
History
English
Biology
.LNAT.
-Personal Statements-

“Hello! I'm a University College London Final year Law Student with a great deal of tutoring experience in English, Maths, Sciences and Entrance Exams. ”

£20 /hr

Sam F.

Degree: Economics with Placement (Bachelors) - Bath University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Extended Project Qualification
Economics

“Studying for BSc Hons Economics, A level economics, maths and physics. Able to tutor GCSE/AS/A2 Economics, Maths and GCSE physics! ”

£18 /hr

Holly S.

Degree: Bachelor of Dental Surgery (Bachelors) - Glasgow University

Subjects offered:Maths, Biology

Maths
Biology

“Hi! I am studying Dentistry at the University of Glasgow, and have an in-depth knowledge and keen interest in the sciences and maths (and teeth!). ”

MyTutor guarantee

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

Find the coordinates of the minimum point of the curve y=x^2+6x+5.

Solve this pair of simultaneous equations (1) 5x+2y=20 and (2) x+4y=13

How to expand brackets?

N = 2A + B. A is a two-digit square number. B is a two-digit cube number. What is the smallest possible value of N?

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