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<p>Jawaban: 30.375/32</p><p>&nbsp;</p><p>Konsep:</p><p>* a^m/aⁿ = a^{m - n}</p><p>* a^-n = 1/aⁿ</p><p>* (a^m)ⁿ = a^{m × n}</p><p>* (a ∙ b)ⁿ = aⁿ ∙ bⁿ</p><p>* (a/b)ⁿ = aⁿ/bⁿ</p><p>&nbsp;</p><p>Pembahasan:</p><p>Diketahui x = 2, y = 3, dan z = 5</p><p>Maka:</p><p>((2x²y^-3z^-1)/(3x^-2yz²))^-1</p><p>= (2^-1(x²)^-1(y^-3)^-1(z^-1)^-1)/(3^-1(x^-2)^-1(y)^-1(z²)^-1)</p><p>= ((1/2) x^-2y³z¹)/((1/3) x²y^-1z^-2)</p><p>= (3/2) x^{-2 - 2}y^{3 - (-1)}z^{1 - (-2)}</p><p>= (3/2) x^-4y^{4 &nbsp;}z³</p><p>= (3/2) (2)^-4(3)^{4 &nbsp;}(5)³</p><p>= (3/2) (1/2⁴)(3)^{4 &nbsp;}(5)³</p><p>= (3/2) (1/16)(81)^&nbsp;(125)</p><p>= 30.375/32</p><p>&nbsp;</p><p>Jadi, hasilnya adalah 30.375/32.</p>