If 2160 = 2 a × 3 b × 5 c , find a, b...

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

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