Pertanyaan

Nilai dari ⎝ ⎛ x 4 5 − 6 y − 3 1 ⎠ ⎞ x − 2 7 x − 2 3 6 y 5 untuk x = 4 dan y = 27 adalah ...

Nilai dari $\frac{7 x ^{- \frac{3}{2}} 6 y ^{5}}{⎝ ⎛ x ^{\frac{5}{4}} - 6 y ^{- \frac{1}{3}} ⎠ ⎞ x ^{- 2}}$ untuk x = 4 dan y = 27 adalah ...

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Jawaban terverifikasi

Jawaban

Nilai dari untuk x = 4 dan y = 27 adalah 59,82

Nilai dari $fraction numerator 7 x to the power of negative begin display style 3 over 2 end style end exponent root index 6 of y to the power of 5 end root over denominator open parentheses x to the power of begin display style 5 over 4 end style end exponent minus 6 y to the power of negative begin display style 1 third end style end exponent close parentheses x to the power of negative 2 end exponent end fraction$ untuk x = 4 dan y = 27 adalah 59,82

Pembahasan

Jadi,Nilai dari untuk x = 4 dan y = 27 adalah 59,82

$table attributes columnalign right center left columnspacing 2px end attributes row cell fraction numerator 7 x to the power of negative begin display style 3 over 2 end style end exponent root index 6 of y to the power of 5 end root over denominator open parentheses x to the power of begin display style 5 over 4 end style end exponent minus 6 y to the power of negative begin display style 1 third end style end exponent close parentheses x to the power of negative 2 end exponent end fraction end cell equals cell fraction numerator 7 open parentheses 4 close parentheses to the power of negative begin display style 3 over 2 end style end exponent root index 6 of open parentheses 27 close parentheses to the power of 5 end root over denominator left parenthesis 4 to the power of begin display style 5 over 4 end style end exponent minus 6 open parentheses 27 close parentheses to the power of negative begin display style 1 third end style end exponent right parenthesis 4 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 7 open parentheses 2 squared close parentheses to the power of negative begin display style 3 over 2 end style end exponent root index 6 of open parentheses 3 cubed close parentheses to the power of 5 end root over denominator left parenthesis open parentheses 2 squared close parentheses to the power of begin display style 5 over 4 end style end exponent minus 6 open parentheses 3 cubed close parentheses to the power of negative begin display style 1 third end style end exponent right parenthesis space left parenthesis 2 squared right parenthesis to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 7 cross times 2 to the power of negative 3 end exponent cross times left parenthesis 3 cubed right parenthesis to the power of begin display style 5 over 6 end style end exponent over denominator left parenthesis open parentheses 2 close parentheses to the power of begin display style 5 over 2 end style end exponent minus 6 open parentheses 3 close parentheses to the power of negative 1 end exponent right parenthesis 2 to the power of negative 4 end exponent end fraction end cell row blank equals cell fraction numerator 7 cross times 2 to the power of negative 3 end exponent cross times 3 to the power of begin display style 5 over 2 end style end exponent over denominator open parentheses 2 close parentheses to the power of begin display style 5 over 2 end style end exponent cross times 2 to the power of negative 4 end exponent minus 2 cross times 2 to the power of negative 4 end exponent end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 7 cross times square root of 243 over denominator 8 end fraction end style over denominator 2 to the power of begin display style fraction numerator negative 3 over denominator 2 end fraction end style end exponent minus 2 to the power of negative 3 end exponent end fraction end cell row blank equals cell fraction numerator begin display style 7 over 8 cross times 15 comma 59 end style over denominator square root of begin display style 1 over 8 end style end root minus begin display style 1 over 8 end style end fraction end cell row blank equals cell fraction numerator 0 comma 875 cross times 15 comma 59 over denominator 0 comma 353 minus 0 comma 125 end fraction end cell row blank equals cell fraction numerator 13 comma 64 over denominator 0 comma 228 end fraction end cell row blank equals cell 59 comma 82 end cell end table$

Jadi, Nilai dari $fraction numerator 7 x to the power of negative begin display style 3 over 2 end style end exponent root index 6 of y to the power of 5 end root over denominator open parentheses x to the power of begin display style 5 over 4 end style end exponent minus 6 y to the power of negative begin display style 1 third end style end exponent close parentheses x to the power of negative 2 end exponent end fraction$ untuk x = 4 dan y = 27 adalah 59,82