Sederhanakan operasi aljabar berikut ini (2x^(3)) x 3(x^(2)y^(2))^(3) x 5y^(4) = . . .

<p>Halo Talita. Kakak bantu jawab ya.</p><p>Asumsikan solanya adalah 2x³×3((x²y²))³×5y⁴ .</p><p>Jawab: 30x⁹y¹⁰</p><p>Pembahasan:</p><p>Ingat!</p><p>(a^m)ⁿ = a^m×n</p><p>a^m×aⁿ = a^m+n</p><p>Dengan menggunakan konsep di atas, diperoleh</p><p>2x³×3((x²y²))³×5y⁴ = 2x³×3(x^2×3y^2×3)×5y⁴&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2x³×3(x⁶y⁶)×5y⁴</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;} = 2×3×5×x³×x⁶×y⁶×5y⁴</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 30x³⁺⁶y⁶⁺⁴</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 30x⁹y¹⁰</p><p>&nbsp;</p><p><strong><u>Jadi, jawaban yang benar adalah 30x</u>^<u>9</u><u>y</u>^<u>10</u><u>.</u></strong></p>