Pertanyaan

Nilai dari 6 4 3 2 − 12 5 3 2 2 7 2 1 − 1 2 2 1 adalah ....

Nilai dari $\frac{2 7 ^{\frac{1}{2}} - 1 2 ^{\frac{1}{2}}}{6 4 ^{\frac{2}{3}} - 12 5 ^{\frac{2}{3}}}$ adalah ....

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= = = = . Jawaban yang benar A.

$begin mathsize 14px style fraction numerator 27 to the power of begin display style 1 half end style end exponent minus 12 to the power of begin display style 1 half end style end exponent over denominator 64 to the power of begin display style 2 over 3 end style end exponent minus 125 to the power of begin display style 2 over 3 end style end exponent end fraction end style$ = $fraction numerator open parentheses 9 cross times 3 close parentheses to the power of begin display style 1 half end style end exponent minus open parentheses 4 cross times 3 close parentheses to the power of begin display style 1 half end style end exponent over denominator open parentheses 4 cubed close parentheses to the power of begin display style 2 over 3 end style end exponent minus open parentheses 5 cubed close parentheses to the power of begin display style 2 over 3 end style end exponent end fraction$

= $begin mathsize 14px style fraction numerator square root of 9 cross times square root of 3 minus square root of 4 cross times square root of 3 over denominator 4 squared minus 5 squared end fraction end style$

= $begin mathsize 14px style fraction numerator 3 square root of 3 minus 2 square root of 3 over denominator 16 minus 25 end fraction end style$

Jawaban yang benar A.