Pertanyaan

Nilai dari b 3 2 + 3 b − 1 − 2 b 0 a 2 3 + 4 a − 1 − 5 a 0 bila a = 4 dan b = 8 1 adalah ....

Nilai dari $\frac{a ^{\frac{3}{2}} + 4 a ^{- 1} - 5 a ^{0}}{b ^{\frac{2}{3}} + 3 b ^{- 1} - 2 b ^{0}}$ bila a = 4 dan $b = \frac{1}{8}$ adalah ....

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Klaim

N. Ayu

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Mahasiswa/Alumni Universitas Negeri Padang

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a to the power of 3 over 2 end exponent plus 4 a to the power of negative 1 end exponent minus 5 a to the power of 0 over denominator b to the power of 2 over 3 end exponent plus 3 b to the power of negative 1 end exponent minus 2 b to the power of 0 end fraction end cell equals cell fraction numerator open parentheses 4 close parentheses to the power of 3 over 2 end exponent plus 4 open parentheses 4 close parentheses to the power of negative 1 end exponent minus 5 open parentheses 4 close parentheses to the power of 0 over denominator open parentheses 1 over 8 close parentheses to the power of 2 over 3 end exponent plus 3 open parentheses 1 over 8 close parentheses to the power of negative 1 end exponent minus 2 open parentheses 1 over 8 close parentheses to the power of 0 end fraction end cell row blank equals cell fraction numerator open parentheses 2 squared close parentheses to the power of 3 over 2 end exponent plus 4 open parentheses 2 squared close parentheses to the power of negative 1 end exponent minus 5 open parentheses 1 close parentheses over denominator open parentheses 2 to the power of negative 3 end exponent close parentheses to the power of 2 over 3 end exponent plus 3 open parentheses 2 to the power of negative 3 end exponent close parentheses to the power of negative 1 end exponent minus 2 open parentheses 1 close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses 2 close parentheses to the power of 2 open parentheses 3 over 2 close parentheses end exponent plus 4 open parentheses 2 close parentheses to the power of 2 open parentheses negative 1 close parentheses end exponent minus 5 over denominator open parentheses 2 close parentheses to the power of negative 3 open parentheses 2 over 3 close parentheses end exponent plus 3 open parentheses 2 close parentheses to the power of negative 3 open parentheses negative 1 close parentheses end exponent minus 2 end fraction end cell row blank equals cell fraction numerator 2 cubed plus 4 open parentheses 2 close parentheses to the power of negative 2 end exponent minus 5 over denominator open parentheses 2 close parentheses to the power of negative 2 end exponent plus 3 open parentheses 2 close parentheses cubed minus 2 end fraction end cell row blank equals cell fraction numerator 2 cubed plus 4 times 1 over 2 squared minus 5 over denominator 1 over 2 squared plus 3 open parentheses 2 close parentheses cubed minus 2 end fraction end cell row blank equals cell fraction numerator 8 plus 4 times 1 fourth minus 5 over denominator 1 fourth plus 3 open parentheses 8 close parentheses minus 2 end fraction end cell row blank equals cell fraction numerator 8 plus 1 minus 5 over denominator 1 fourth plus 24 minus 2 end fraction end cell row blank equals cell fraction numerator 4 over denominator 1 fourth plus 22 end fraction end cell row blank equals cell fraction numerator 4 over denominator 89 over 4 end fraction end cell row blank equals cell 4 cross times 4 over 89 end cell row blank equals cell box enclose 16 over 89 end enclose end cell end table end style$