Sederhanakanlah (3x2⋅y−5)(−3x−8⋅y9)

Pertanyaan

Sederhanakanlah

open parentheses 3 x squared times y to the power of negative 5 end exponent close parentheses open parentheses negative 3 x to the power of negative 8 end exponent times y to the power of 9 close parentheses

H. Firmansyah

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

Ingat bahwa

a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent a to the power of m divided by a to the power of n equals a to the power of m minus n end exponent a to the power of negative m end exponent equals 1 over a to the power of m

Dengan demikian, diperoleh perhitungan

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 3 x squared times y to the power of negative 5 end exponent close parentheses open parentheses negative 3 x to the power of negative 8 end exponent times y to the power of 9 close parentheses end cell row blank equals cell 9 x to the power of 2 minus 8 end exponent y to the power of negative 5 plus 9 end exponent end cell row blank equals cell 9 x to the power of negative 6 end exponent y to the power of 4 end cell row blank equals cell fraction numerator 9 y to the power of 4 over denominator x to the power of 6 end fraction end cell end table 

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