Question

Find to five places of Decimal the value of

${(630)}^{ \frac{ - 3}{4} }$

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Answer 1

$let \: x \: = {630}^{ \frac{ - 3}{4} } \\ \\ = > log(x)= log( {630}^{ \frac{ - 3}{2} } ) \\ \\ = > log(x) = \frac{ - 3}{4} log(630) \\ \\ = > log(x) = \frac{ - 3}{4} \times 2.79934 \\ \\ = > log(x) = - 3 \times 0.69983 \\ \\ = > log(x) = - 2.0995 \\ \\ = > log(x) = - 3 + 1 - 0.0995 \\ \\ = > log(x) = - 3 + 0.9005 \\ \\ = > x = anti \: log \: - 3 + 0.9005 \\ \\ = > x = 0.00795$

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Answer 2

✨✨ HEY MATE HERE IS YOUR ANSWER:-✨✨
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let x=6304−3​=>log(x)=log(630 -3/2)
=>log(x)=4−3log(630)
=>log(x)=4−3×2.79934
=>log(x)=-3×0.69983
=>log(x)=−2.0995
=>log(x)=−3+1−0.0995
=>log(x)=−3+0.9005
=>x=antilog−3+0.9005
=>x=0.00795​

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