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Nilai dari (32)51​⋅(5)21​(64)31​⋅(125)61​​ adalah ...

Pertanyaan

Nilai dari fraction numerator open parentheses 64 close parentheses to the power of begin display style 1 third end style end exponent times open parentheses 125 close parentheses to the power of begin display style 1 over 6 end style end exponent over denominator open parentheses 32 close parentheses to the power of begin display style 1 fifth end style end exponent times open parentheses 5 close parentheses to the power of begin display style 1 half end style end exponent end fraction adalah ... 

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R. Bella

Master Teacher

Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

dengan menggunakan sifat-sifat perpangkatan diperoleh 

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 64 close parentheses to the power of begin display style 1 third end style end exponent times open parentheses 125 close parentheses to the power of begin display style 1 over 6 end style end exponent over denominator open parentheses 32 close parentheses to the power of begin display style 1 fifth end style end exponent times open parentheses 5 close parentheses to the power of begin display style 1 half end style end exponent end fraction end cell equals cell fraction numerator open parentheses 2 to the power of 6 close parentheses to the power of begin display style 1 third end style end exponent times open parentheses 5 cubed close parentheses to the power of begin display style 1 over 6 end style end exponent over denominator open parentheses 2 to the power of 5 close parentheses to the power of begin display style 1 fifth end style end exponent times open parentheses 5 close parentheses to the power of begin display style 1 half end style end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of 6 cross times begin display style 1 half end style end exponent times 5 to the power of 3 cross times begin display style 1 over 6 end style end exponent over denominator 2 to the power of 5 cross times begin display style 1 fifth end style end exponent times 5 to the power of begin display style 1 half end style end exponent end fraction end cell row blank equals cell fraction numerator 2 cubed times 5 to the power of begin display style 1 half end style end exponent over denominator 2 to the power of 1 times 5 to the power of begin display style 1 half end style end exponent end fraction end cell row blank equals cell 2 to the power of 3 minus 1 end exponent times 5 to the power of 1 half minus 1 half end exponent end cell row blank equals cell 2 squared times 5 to the power of 0 end cell row blank equals cell 4 times 1 end cell row blank equals 4 end table 

Dengan demikian, jawaban yang tepat adalah D.

101

3.0 (2 rating)

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