What power of 30 will exactly divide 128
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Given : What power of 30 will exactly divide 128
To Find : Power of 30
Solution:
Let say power n of 30 will exactly divide 128
30ⁿ = ( 2 * 3 * 5)ⁿ = 2ⁿ * 3ⁿ * 5ⁿ
128 = 2 * 2 * 2 * 2 * 2 * 2 * 2
=> 128 = 2⁷
=> n = 7
Hence power 7 of 30 will exactly divide 128
30⁷ = 2⁷ * 3⁷ * 5⁷
=> 2⁷ * 3⁷ * 5⁷ / 128 = (15)⁷
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