Jawab:
Penjelasan dengan langkah-langkah:
[tex](\frac{x^{a}}{x^{b}})^{(a+b)} =\frac{(x^{a})^{(a+b)}}{(x^{b})^{(a+b)}}=\frac{x^{(a^{2}+ab)}}{x^{(ab+b^{2})}}=\frac{(x^{a^{2}})*(x^{ab})}{(x^{ab})*(x^{b^{2}})}=\frac{x^{a^{2}}}{x^{b^{2}}}[/tex]
[tex](\frac{x^{b}}{x^{c}})^{(b+c)} =\frac{(x^{b})^{(b+c)}}{(x^{c})^{(b+c)}}=\frac{x^{(b^{2}+bc)}}{x^{(bc+c^{2})}}=\frac{(x^{b^{2}})*(x^{bc})}{(x^{bc})*(x^{c^{2}})}=\frac{x^{b^{2}}}{x^{c^{2}}}[/tex]
[tex](\frac{x^{c}}{x^{a}})^{(c+a)} =\frac{(x^{c})^{(c+a)}}{(x^{a})^{(c+a)}}=\frac{x^{(c^{2}+ac)}}{x^{(ac+a^{2})}}=\frac{(x^{c^{2}})*(x^{ac})}{(x^{ac})*(x^{a^{2}})}=\frac{x^{c^{2}}}{x^{a^{2}}}\\\\maka,\\\\=(\frac{x^{a}}{x^{b}})^{(a+b)}*(\frac{x^{b}}{x^{c}})^{(b+c)}*(\frac{x^{c}}{x^{a}})^{(c+a)}\\\\=\frac{x^{a^{2}}}{x^{b^{2}}}*\frac{x^{b^{2}}}{x^{c^{2}}}*\frac{x^{c^{2}}}{x^{a^{2}}}=1[/tex]
Faktor yang sama di pembilang dan penyebut di coret, maka akan dihasilkan nilai 1 (Jawaban B)
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Jawab:
Penjelasan dengan langkah-langkah:
[tex](\frac{x^{a}}{x^{b}})^{(a+b)} =\frac{(x^{a})^{(a+b)}}{(x^{b})^{(a+b)}}=\frac{x^{(a^{2}+ab)}}{x^{(ab+b^{2})}}=\frac{(x^{a^{2}})*(x^{ab})}{(x^{ab})*(x^{b^{2}})}=\frac{x^{a^{2}}}{x^{b^{2}}}[/tex]
[tex](\frac{x^{b}}{x^{c}})^{(b+c)} =\frac{(x^{b})^{(b+c)}}{(x^{c})^{(b+c)}}=\frac{x^{(b^{2}+bc)}}{x^{(bc+c^{2})}}=\frac{(x^{b^{2}})*(x^{bc})}{(x^{bc})*(x^{c^{2}})}=\frac{x^{b^{2}}}{x^{c^{2}}}[/tex]
[tex](\frac{x^{c}}{x^{a}})^{(c+a)} =\frac{(x^{c})^{(c+a)}}{(x^{a})^{(c+a)}}=\frac{x^{(c^{2}+ac)}}{x^{(ac+a^{2})}}=\frac{(x^{c^{2}})*(x^{ac})}{(x^{ac})*(x^{a^{2}})}=\frac{x^{c^{2}}}{x^{a^{2}}}\\\\maka,\\\\=(\frac{x^{a}}{x^{b}})^{(a+b)}*(\frac{x^{b}}{x^{c}})^{(b+c)}*(\frac{x^{c}}{x^{a}})^{(c+a)}\\\\=\frac{x^{a^{2}}}{x^{b^{2}}}*\frac{x^{b^{2}}}{x^{c^{2}}}*\frac{x^{c^{2}}}{x^{a^{2}}}=1[/tex]
Faktor yang sama di pembilang dan penyebut di coret, maka akan dihasilkan nilai 1 (Jawaban B)