Question

The sum of exponents of prime factors in the prime- factorisation of 196 is

Answer 1

Answer:

2×2×7×7

196 exponents 14

Answer 2

Answer:

4

Step-by-step explanation:

Answer:

The sum of the exponents of prime factors in prime factorisation of 196 is 4

Step-by-step explanation:

We know that,

196 = 2 × 2 × 7 × 7

= 2² × 7²

Now, we must know that,

In a^(m), a is the base and m is the exponent

Here,

the exponent of 2 is 2 and the exponent of 7 is also 2

Thus,

Their sum = 2 + 2 = 4

Thus,

the sum of the exponents of prime factors in prime factorisation of 196 is 4

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