Pertanyaan

Jika ( m 3 n ) 2 = 3 maka nilai dari adalah ...

Jika $(m^{3} n)^{2} = 3$ maka nilai dari $begin mathsize 14px style fraction numerator m cubed open parentheses 2 m squared n close parentheses to the power of 4 over denominator 4 m to the power of 5 n squared end fraction end style$ adalah ...

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Jawaban terverifikasi

Pembahasan

Maka jawaban yang tepat adalah C.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator m cubed open parentheses 2 m squared n close parentheses to the power of 4 over denominator 4 m to the power of 5 n squared end fraction end cell equals cell fraction numerator m cubed times 2 to the power of 4 times m to the power of 8 times n to the power of 4 over denominator 2 squared times m to the power of 5 times n squared end fraction end cell row blank equals cell m to the power of 3 plus 8 minus 5 end exponent times n to the power of 4 minus 2 end exponent times 2 to the power of 4 minus 2 end exponent end cell row blank equals cell 4 m to the power of 6 n squared end cell row blank equals cell 4 open parentheses m cubed n close parentheses squared end cell row blank equals cell 4 open parentheses 3 close parentheses end cell row blank equals 12 end table end style$

Maka jawaban yang tepat adalah C.