Get an answer in 5 minutes

Ask a question to our educators
MATHS

# How do I find n? There is a rectangle and l=125^2n and w=25^n-1 and there area in 625cm^2. I know n=3/4 and I know you have to multiply l and w. What steps are required after that?

The formula for the area is l•w so your data gives you the exponential equation: 125^(2n) • 25^(n-1) = 625. Notice now that every term in the equation has a base that is a power of 5: 5^2= 25, 5^3=125 and 5^4=625. Using power rules, you can write your equation as: 5^(3•2n) • 5^(2•(n-1))=5^4 or more simply: 5^(6n+2n-2)=5^4 In the equation, since the bases of both sides are the same, it means that the exponents should be equal. Therefore you get: 8n-2=4, or 8n=6 so n=6/8 or 3/4.

Fotios Tsitsos
·

8.4k students helped

## What is Q&A on Scoodle?

At Scoodle we understand that everyone learns in a different way. Some people learn through practice, using essays and notes; others prefer video lessons to watch and learn, some just need help with a specifically hard question, while some learn best 1-on-1 tutoring sessions. At Scoodle we cater for all types of learning styles and needs. From GCSE Maths video lessons to A-level English essays and specialist educators in every subject - we’ve got you covered.

Scoodle has helped over 131,000 students so far

Need help with Maths?

Getting expert help from a tutor is a great way to improve your Maths grades.

## Discover learning resources by tutors

Learn Maths with Video Lessons
1hr 28m · 8 videos
Paja Kruzikova
·

707 students helped

GCSE Maths - Numbers
28m · 3 videos
Iqbal Lokman
·

1.6k students helped

1hr 32m · 9 videos
Paja Kruzikova
·

707 students helped

GCSE Maths - Ratios
56m · 6 videos
Paja Kruzikova
·

707 students helped

GCSE Maths - Algebra A
1hr 14m · 7 videos
Paja Kruzikova
·

707 students helped

GCSE Maths - Algebra B
1hr 27m · 9 videos
Paja Kruzikova
·

707 students helped

GCSE Maths - Algebra C