The exponent is 2 in prime factorsacation of 144 is
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Correct Question -
Find the exponent of 2 in the prime factorisation of 144.
Solution -
Here, we need to prime - factorise 144 and express it in exponents and find the exponent for base 2.
So,
144 = 12 * 12
144 = 3 * 4 * 3 * 4
144 = 3^2 * 4^2
144 = 3^2 * 2^4
Hence the required exponent is 4 .
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144=2×2×2×2×3×3
Exponent of 2 is 2 ki power 4
The answer is 4
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