Manakah yang nilainya bukan 8 ? a. (2^(3))^(0)/8^(−1) b. 64^(2/3)×2^(−1) c. 8^(1/3)×4^(−1/2) d. (32×4^(5))^(1/5)

<p>Jawaban : c</p><p>&nbsp;</p><p>Ingat!</p><p>a^(m) x a^(n) = a^(m+n)</p><p>a^(m) : a^(n) = a^(m-n)</p><p>(a^(m))^(n) = a^(mn)</p><p>a^(-n) = 1/a^(n)</p><p>a^(0) = 1, asal a ≠ 0<br>&nbsp;</p><p>Cek&nbsp;</p><p>a.&nbsp;</p><p>(2^(3))^(0)/8^(−1)&nbsp;</p><p>= 8^(0)/8^(−1)&nbsp;</p><p>= 8^(0-(−1))</p><p>= 8^(1)&nbsp;</p><p>= 8</p><p>&nbsp;</p><p>b.&nbsp;</p><p>64^(2/3)×2^(−1)&nbsp;</p><p>= (2^(6))^(2/3)×2^(−1)&nbsp;</p><p>= 2^(4)×2^(−1)&nbsp;</p><p>= 2^(4+(−1))</p><p>= 2^(3)</p><p>= 8</p><p>&nbsp;</p><p>c.&nbsp;</p><p>8^(1/3)×4^(−1/2)&nbsp;</p><p>= (2^(3))^(1/3)×(2^(2))^(−1/2)&nbsp;</p><p>= 2^(1)×2^(−1)&nbsp;</p><p>= 2^(1+(−1))</p><p>= 2^(0)</p><p>= 1</p><p>&nbsp;</p><p>d.&nbsp;</p><p>(32×4^(5))^(1/5)</p><p>= (2^(5)×(2^(2))^(5))^(1/5)</p><p>= (2^(5)×2^(10))^(1/5)</p><p>= (2^(5+10))^(1/5)</p><p>= (2^(15))^(1/5)</p><p>= 2^(3)</p><p>= 8</p><p>&nbsp;</p><p>Jadi, yang nilainya bukan 8 adalah 8^(1/3)×4^(−1/2)&nbsp;</p><p>Pilihan jawaban yang benar adalah c</p>