Nomor 1
[tex]( {a}^{5} \div {a}^{ - 3} ) {}^{ - 2} \\ = ( {a}^{5 - ( - 3)} ) {}^{ - 2} \\ =( {a}^{5 + 3} ) {}^{ - 2} \\ = ( {a}^{8} ) {}^{ - 2} \\ = {a}^{8 \times ( - 2)} \\ = {a}^{ - 16} [/tex]
[tex] \\ [/tex]
Nomor 2
[tex]( {2}^{3} \times {5}^{ - 3} ) {}^{ - 2} \times ( {2}^{ - 2} \times {5}^{2} ) {}^{3} \\ = ( {2}^{3 \times ( - 2)} \times {5}^{ - 3 \times ( - 2)} ) \times ( {2}^{ - 2 \times 3} \times {5}^{2 \times 3} ) \\ = ( {2}^{ - 6} \times {5}^{ 6} ) \times ( {2}^{ - 6} \times {5}^{6} ) \\ = {2}^{ - 6 + ( - 6)} \times {5}^{6 + 6} \\ = {2}^{ - 12} \times {5}^{12} \\ = \frac{1}{ {2}^{12} } \times {5}^{12} \\ = \frac{ {5}^{12} }{ {2}^{12} } [/tex]
[tex] \\ [/tex]
Nomor 3
[tex] \left( \frac{ {a}^{2} }{b} \right)^{ - 3} \times \left( \frac{ {b}^{2} }{ {a}^{3} } \right)^{ -2} \\ \\ = \frac{ {a}^{ - 6} }{ {b}^{ - 3} } \times \frac{ {b}^{ - 4} }{ {a}^{ - 6} } \\ \\ = \frac{ {a}^{ - 6} }{ {a}^{ - 6} } \times \frac{ {b}^{ - 4} }{ {b}^{ - 3} } \\ \\ = {a}^{ - 6 - ( - 6)} \times {b}^{ - 4 - ( - 3)} \\ \\ = {a}^{0} \times {b}^{ - 1} \\ \\ = 1 \times \frac{1}{b} \\ \\ = \frac{1}{b} [/tex]
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