Pertanyaan

Nilai dari ( 32 ) 5 1 ⋅ ( 5 ) 2 1 ( 64 ) 3 1 ⋅ ( 125 ) 6 1 adalah ...

Nilai dari $\frac{( 64 ) ^{\frac{1}{3}} \cdot ( 125 ) ^{\frac{1}{6}}}{( 32 ) ^{\frac{1}{5}} \cdot ( 5 ) ^{\frac{1}{2}}}$ adalah ...

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 Dengan demikian, jawaban yang tepat adalah D.

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.