Tentukan hasil operasi pemangkatan berikut! b. 81^(1/4) + 32^(2/5) + (−64)^(2/3) − 25^(1½)

<p>Jawab: -134</p><p>Pembahasan:</p><p>Ingat!</p><ul><li>(a^m)ⁿ = a^m×</li><li>Bilangan negatif, dipangkatkan bilangan genap menghasilkan bilangan positif</li><li>Bilangan negatif dipangkatkan bilangan ganjil menghasilkan bilangan negatif.</li></ul><p>Dengan menggunakan konsep di atas, diperoleh</p><p>81^1/4 + 32^2/5 + (−64)^2/3 − 25^{1 1/2} = (3⁴)^1/4 + (2⁵)^2/5 + ((-1)(2⁶))^2/3 − (5²)^3/2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3¹+2²-2⁴-5³</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3+4-16-125</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -134</p><p>&nbsp;</p><p><strong><u>Jadi, jawaban yang benar adalah -134.</u></strong></p>