Question

after how many decimal places will the decimal expansion of 487 /2^6 5^4 terminated​

Answer 1

given :

$\frac{487}{2^6*5^4}$

so

$2^{6} =64$

$5^{4} =625$

thus, $2^{6}$×$5^{4}$

=$64$×$625$

=$40000$

as per given

$\frac{487}{2^6*5^4}$

=$\frac{487}{40000}$

=$0.012175$

therefore after $7$ decimal places the decimal expansion of

$\frac{487}{2^6*5^4}$ terminates.