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Given below are two statements:
Statement I : The sum of exponents of prime factors in the prime factorization of 392 is 5.
Statement II : The decimal representation $$\dfrac{13}{2^{3}\times5}$$ will terminate after 2 decimal places.
In the light of the above statements, choose the correct answer from the options given below:
Statement - I
$$392=2^3\times7^2$$
Thus, the sum of exponents of prime factors of 392 is (3 + 2) = 5
This statement is TRUE.
Statement - II
$$\dfrac{13}{2^3\times5}=\dfrac{13}{40}=0.325$$
This will terminate after 3 decimal places.
This statement is FALSE.
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