Question

After how many decimal places will 229/2²*5to the power 7 terminates

Answer 1

Answer:

don't know the correct answer

Answer 2

Step-by-step explanation:

First we have to make the base a power of 10  , that is we know 5 * 2 is 10 so we have to make the powers of exponets of 2 and 5 in the denominator same so we multiply 2^5 on both numerator and denominator

229/2^2*5^7  * 2^5/2^5

which becomes

->229*2^5/2^(2+5)*5^7

here in the denominator as 2 and 5 have the same powers we can take 2 and 5 common into (2*5)^7 -> 10^7

Here as base is 10 followed by 7 zeroes , the decimal will terminate after 7 places

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