Roboguru

Sederhanakanlah c. ,  dan

Pertanyaan

Sederhanakanlah

c. open parentheses fraction numerator x to the power of negative 2 end exponent y to the power of 4 over denominator 5 x to the power of negative 6 end exponent y cubed end fraction close parentheses squaredx not equal to 0 dan y not equal to 0

Pembahasan Soal:

Ingat sifat eksponen berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of m times a to the power of n end cell equals cell a to the power of m plus n end exponent end cell row cell a to the power of m over a to the power of n end cell equals cell a to the power of m minus n end exponent end cell row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m times n end exponent end cell end table

Jika open parentheses fraction numerator x to the power of negative 2 end exponent y to the power of 4 over denominator 5 x to the power of negative 6 end exponent y cubed end fraction close parentheses squaredx not equal to 0 dan y not equal to 0, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator x to the power of negative 2 end exponent y to the power of 4 over denominator 5 x to the power of negative 6 end exponent y cubed end fraction close parentheses squared end cell equals cell fraction numerator open parentheses x to the power of negative 2 end exponent close parentheses squared open parentheses y to the power of 4 close parentheses squared over denominator 5 open parentheses x to the power of negative 6 end exponent close parentheses squared open parentheses y cubed close parentheses squared end fraction end cell row blank equals cell fraction numerator x to the power of negative 4 end exponent y to the power of 8 over denominator 5 x to the power of negative 12 end exponent y to the power of 6 end fraction end cell row blank equals cell 1 fifth x to the power of negative 4 minus open parentheses negative 12 close parentheses end exponent y to the power of 8 minus 6 end exponent end cell row blank equals cell 1 fifth x to the power of negative 4 plus 12 end exponent y squared end cell row blank equals cell 1 fifth x to the power of 8 y squared end cell end table

Jadi, bentuk sederhana dari open parentheses fraction numerator x to the power of negative 2 end exponent y to the power of 4 over denominator 5 x to the power of negative 6 end exponent y cubed end fraction close parentheses squaredx not equal to 0 dan y not equal to 0 adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 fifth x to the power of 8 y squared end cell end table.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 26 Juli 2021

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