Tentukan nilai berikut [(2)/(3)]^(-5):[-(3)/(2)]^(5)=cdots A. 1 B. -1 C. 2 D. -2

<p>Jawaban: B</p><p>&nbsp;</p><p>Ingat bahwa!</p><p>(a/b)^-n = (b/a)ⁿ</p><p>aⁿ : a^m = a^n-m</p><p>a⁰ = 1</p><p>(-a)ⁿ = aⁿ jika n adalah bilangan genap</p><p>(-a)ⁿ = -aⁿ jika n adalah bilangan ganjil</p><p>&nbsp;</p><p>Maka hasil dari (2/3)^-5 : (-(3/2)⁵)</p><p>(2/3)^-5 : (-(3/2)⁵) = (3/2)⁵ : -(3/2)⁵</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= -(3/2)^5-5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= -(3/2)⁰</p><p>^{&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;} &nbsp; &nbsp; &nbsp; &nbsp; = -1</p><p>&nbsp;</p><p>Jadi, jawaban yang tepat adalah B. &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>