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Find the number of naughts after decimal...

Find the number of naughts after decimal before a significant figure comes in the number `(5/6)^100.`

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{:(Column -I,Column -II),((A)"Anti logarithm of" (0.bar(6))"to the base 27 has the value equal to",(P)5),((B)"Characteristic of the logarithm of 2008 to the base 2 is",(Q)7),((C)"The value of b satisfying the equation",(R)9),(log_(e)2.log_(b)625=log_(10)16.log_(e)10 is,),((D)"Number of naughts after decimal before a significant figure",(S)10),("comes in the number" ((5)/(6))^(100)is,):}

{:(Column -I,Column -II),((A)"Anti logarithm of" (0.bar(6))"to the base 27 has the value equal to",(P)5),((B)"Characteristic of the logarithm of 2008 to the base 2 is",(Q)7),((C)"The value of b satisfying the equation",(R)9),(log_(e)2.log_(b)625=log_(10)16.log_(e)10 is,),((D)"Number of naughts after decimal before a significant figure",(S)10),("comes in the number" ((5)/(6))^(100)is,):}

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The significant figures in the number 6.0023 are

The significant figures in the number 6.0023 are

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Suppose U denotes the number of digits in the number (60)^(100) and M denotes the number of cyphers after decimal, before a significant figure comes in (8)^(-296) . If the fraction U/M is expressed as rational number in the lowest term as p//q (given log_(10)2=0.301 and log_(10)3=0.477 ) . The value of p is

Suppose U denotes the number of digits in the number (60)^(100) and M denotes the number of cyphers after decimal, before a significant figure comes in (8)^(-296) . If the fraction U/M is expressed as rational number in the lowest term as p//q (given log_(10)2=0.301 and log_(10)3=0.477 ) . The value of q is