Pertanyaan

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

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

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Ingat sifat pangkat: Diketahui Maka

Ingat sifat pangkat:

begin mathsize 14px style straight a to the power of 0 equals 1 straight space straight a to the power of negative 1 end exponent equals 1 over straight a open parentheses straight a to the power of straight m close parentheses to the power of straight n equals straight a to the power of mn end style

Diketahui

begin mathsize 14px style straight a equals 4 equals 2 squared straight b equals 1 over 8 equals 1 over 2 cubed equals 2 to the power of negative 3 end exponent end style

Maka

$begin mathsize 14px style 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 space space space space space space equals space fraction numerator a to the power of 3 over 2 end exponent plus 4 over a minus 5 open parentheses 1 close parentheses over denominator b to the power of 2 over 3 end exponent plus 3 over b minus 2 open parentheses 1 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 2 squared close parentheses to the power of 3 over 2 end exponent plus 4 over 2 squared 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 over 2 to the power of negative 3 end exponent minus 2 open parentheses 1 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 cubed plus 1 minus 5 over denominator 2 to the power of negative 2 end exponent plus 3 space. space 2 cubed minus 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 8 minus 4 over denominator 1 fourth plus 24 minus 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 4 over denominator open parentheses 89 over 4 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 4 cross times 4 over 89 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 16 over 89 end style$