Pertanyaan

Nyatakan dalam bentuk pangkat positif. l. ( x y ) − 5 ( y x 2 ) 3

Nyatakan dalam bentuk pangkat positif.

l. $(\frac{y}{x})^{- 5} (\frac{x ^{2}}{y})^{3}$

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses y over x close parentheses to the power of negative 5 end exponent open parentheses x squared over y close parentheses cubed end cell equals cell y to the power of negative 5 end exponent over x to the power of negative 5 end exponent cross times x to the power of 2 cross times 3 end exponent over y cubed end cell row blank equals cell fraction numerator y to the power of negative 5 end exponent x to the power of 6 over denominator x to the power of negative 5 end exponent y cubed end fraction end cell row blank equals cell y to the power of negative 5 minus 3 end exponent x to the power of 6 minus open parentheses negative 5 close parentheses end exponent end cell row blank equals cell y to the power of negative 8 end exponent x to the power of 6 plus 5 end exponent end cell row blank equals cell x to the power of 11 over y to the power of 8 end cell end table end style$