Sederhanakanlah bentuk akar dari ((8x^(5) y^(-4)) / (16y^(-1/4)))^(½) =...

<p>Jawaban: ½√2 x^5/2y^15/8</p><p>&nbsp;</p><p>Ingat bahwa!</p><p>a^m / aⁿ = a^m-n</p><p>a^-m = 1/a^m</p><p>(a^m)^{n &nbsp;}= a^mn</p><p>(a/b)^m = a^m/b^m</p><p>a^½ = √a</p><p>&nbsp;</p><p>(8x⁵y^-4/16y^-¼)^½ = (8 x⁵y^-4-(-¼)/16^&nbsp; )^½&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (8 x⁵y^-4+¼/16)^½</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = &nbsp;(8 x⁵y^-3¾&nbsp; /16)^½</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (8)^½ x^5/2y^15/8 /16^½</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2√2 x^5/2y^15/8 /4</p><p>^{&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;}= 2√2/4 &nbsp; &nbsp;x^5/2y^15/8</p><p>^{&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;}= ½√2 x^5/2y^15/8</p><p>Jadi, hasil dari (8x⁵y^-4/16y^-¼)^½adalah ½√2 x^5/2y^15/8</p>