Question

plss step by step ans plss ​

Answer 1

Answer:

a = 3 , b = 1 , c = 2

Explanation:

_____________________

Fundamental theorem of arithmetic:

Every composite number can be expressed as product of prime unique way.

__________________________

Resolve 1176 into product of

prime .

2| 1176

_________

2| 588

_________

2| 294

_________

3| 147

_________

7| 49

_________

*****7

1176 = 2³ × 3¹ × 7²

Now,

1176 = 2^{a}\times3^{b}\times 7^{c}1176=2

a

×3

b

×7

c

\implies 2^{3}\times 3^{1}\times7^{2} = 2^{a}\times3^{b}\times 7^{c}⟹2

3

×3

1

×7

2

=2

a

×3

b

×7

c

Compare both sides, we get

a=3 , b = 1 , c = 2

this is the answer !

Answer 2

Answer:

3,1,2

Step-by-step explanation:

1176 = 2³×3¹×7² {prime factorization}

2³×3¹×7² = 2^p × 3^q × 7^r

p = 3

q = 1

r = 2

Hope this answer helped you buddy

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