If 1176-2 a - 3 b - 7 c- what is the value of b -A- 1B- 2C- 3D- 4

The correct option is A 1On prime factorising 1176 we get, =1176 = 2 × 2 × 2 × 3 × 7 × 7 = 2^3 × 3 × 7^2 On comparing nbsp; 2^3 × 3 × 7^2 with 2^a × 3 × 7^2 W ...

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Standard IX

Mathematics

Representing Irrational Number on Number Line

If 1176=2 a ×...

Question

If $1176 = 2^{a} \times 3^{b} \times 7^{c}$ , what is the value of b?

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Solution

The correct option is A 1
On prime factorising 1176 we get,
$= 1176$
$= 2 \times 2 \times 2 \times 3 \times 7 \times 7$
$= 2^{3} \times 3 \times 7^{2}$

On comparing $2^{3} \times 3 \times 7^{2}$ with $2^{a} \times 3 \times 7^{2}$
We get, b = 1

Hence, b = 1.

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If 1176=2a×3b×7c, what is the value of b?

The correct option is A 1On prime factorising 1176 we get, =1176 =2×2×2×3×7×7 =23×3×72 On comparing 23×3×72 with 2a×3×72 We get, b = 1 Hence, b = 1.

If $1176 = 2^{a} \times 3^{b} \times 7^{c}$ , what is the value of b?

The correct option is A 1
On prime factorising 1176 we get,
$= 1176$
$= 2 \times 2 \times 2 \times 3 \times 7 \times 7$
$= 2^{3} \times 3 \times 7^{2}$

On comparing $2^{3} \times 3 \times 7^{2}$ with $2^{a} \times 3 \times 7^{2}$
We get, b = 1

Hence, b = 1.