State after how many decimal places does 13 by 5 raise to 3 into 2 raise to 4 terminate also write the decimal expansion
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Solution :
Given rational number
13/( 5³ × 2⁴ )
= ( 13 × 5 )/( 5⁴ × 2⁴ )
= 65/( 5 × 2 )⁴
= 65/( 10 )⁴
= 65/10000
= 0.0065
Therefore ,
Given rational number
terminates after 4 decimal
places.
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