Pertanyaan

2 3 2 3 2 5 − 6 2 2 1 = ....

$\frac{3 2 ^{5} - 6 \frac{1}{2 ^{2}}}{2 ^{\frac{2}{3}}}$ = ....

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Kita akan menggunakan sifat-sifat berikut ini untuk menjawab pertanyaan di atas. Perhatikan bahwa Jadi, jawaban yang tepat adalah C.

Kita akan menggunakan sifat-sifat berikut ini untuk menjawab pertanyaan di atas.

Perhatikan bahwa

$begin mathsize 14px style fraction numerator cube root of 2 to the power of 5 end root minus root index 6 of 1 over 2 squared end root over denominator 2 to the power of 2 over 3 end exponent end fraction equals fraction numerator cube root of 2 to the power of 5 end root minus root index 6 of 2 to the power of negative 2 end exponent end root over denominator 2 to the power of 2 over 3 end exponent end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 to the power of 5 over 3 end exponent minus 2 to the power of negative 2 over 6 end exponent over denominator 2 to the power of 2 over 3 end exponent end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 to the power of 5 over 3 end exponent minus 2 to the power of negative 1 third end exponent over denominator 2 to the power of 2 over 3 end exponent end fraction space space space space space space space space space space space space space space space space space space space equals 2 to the power of 5 over 3 end exponent over 2 to the power of 2 over 3 end exponent minus 2 to the power of negative 1 third end exponent over 2 to the power of 2 over 3 end exponent space space space space space space space space space space space space space space space space space space space equals 2 to the power of 5 over 3 minus 2 over 3 end exponent minus 2 to the power of negative 1 third minus 2 over 3 end exponent space space space space space space space space space space space space space space space space space space space equals 2 to the power of 1 minus 2 to the power of negative 1 end exponent space space space space space space space space space space space space space space space space space space space equals 2 minus 1 half space space space space space space space space space space space space space space space space space space space equals box enclose 3 over 2 end enclose end style$

Jadi, jawaban yang tepat adalah C.