If 2160-2^a*3^b*5^c, find a, b and c. Hence calculate the value of 3^a*2^(-b)*5^(-c)

FeelryclurN9g3z

FeelryclurN9g3z

Answered question

2023-02-21

If 2160 = 2 a × 3 b × 5 c , find a, b and c. Hence calculate the value of 3 a × 2 b × 5 c

Answer & Explanation

Jay Moyer

Jay Moyer

Beginner2023-02-22Added 4 answers

2160 = 2 a × 3 b × 5 c 2 × 2 × 2 × 2 × 3 × 3 × 5 = 2 a × 3 b × 5 c 2 4 × 3 b × 5 c = 2 4 × 3 3 × 5 1
So, given
A = 4 , b = 3  and  c = 1
Then
3 a × 2 b × 5 c = 3 4 × 2 3 × 5 1 = 3 × 3 × 3 × 3 × 1 2 × 1 5 = 81 × 1 8 × 1 5 = 81 40 = 2 1 40

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?