Question

If 96=2^a×3^b×5^c,then a+b+c is ?

Answer 1

Answer: a+b+c = 6

Step-by-step explanation:

96=2×2×2×2×2×3

96 = 2^5 × 3^1 × 5^0 = 2^a × 3^b × 5^c

Equating the powers of 2,3,and 5...

a=5 b=1 c=0

a+b+c = 5+1+0 = 6

Hence, 6 is the answer...

I hope the answer was up to ur satisfaction..

Answer 2

Answer:

according to question -->

Step-by-step explanation:

96=(a b c )( 2×a×3×b×5×c )

96=(a b c )(30 abc )

96=30a square b square c square

96/30=(a b c) square

root 3.2 = abc .

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