Question

If 1800=2 to the power a × 3 to the power b ×5 to the power c find a+b+c___

Answer 1

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Answer 2

you can rearrange it to 2^(abc)*3^(bc)*5^(c)   [use laws of exponents]
we can see 1800=2^(3)*3^(2)*5^(2)
thus we can see c=2
bc=2 thus b=1
abc=3 thus a=3/2

a=3/2 b=1 c=2


please mark it brainliest answer if you like it.