Jawaban:
30. B
[tex] {3}^{4} \times ({3})^{ - 5} = {3}^{4 + ( - 5)} \\ = {3}^{ - 1} [/tex]
31. C
[tex] {7}^{ - 3} \times {7}^{ - 2} = {7}^{ - 3 + ( - 2)} \\ = {7}^{ - 5} [/tex]
32. A
[tex]( { {2}^{ - 3}) }^{ -4 } = {2}^{ - 3 \times ( - 4)} \\ = {2}^{12} [/tex]
33. D
[tex]( {a}^{5} \div {a}^{ - 3})^{ - 2} = ( {a}^{5 - ( - 3)}) ^{ - 2} \\ = {a}^{8 \times ( - 2)} \\ = {a}^{ - 16} [/tex]
34. D
[tex](( {5}^{ - 3} )^{ - 2} ) ^{ - 1} = (( {5}^{ - 3 \times ( - 2)} )^{ - 1} \\ = {5}^{6 \times ( - 1)} \\ = {5}^{ - 6} [/tex]
35. B
[tex] (\frac{ {a}^{3} }{ {b}^{ - 2} } ) { {}^{} }^{4} = \frac{ {a}^{3 \times 4} }{ {b}^{ - 2 \times 4} } \\ = \frac{ {a}^{12} }{ {b}^{ - 8} } \\ = \frac{ {a}^{12} }{ \frac{1}{ {b}^{8} } } \\ = {a}^{12} \times {b}^{8} [/tex]
36. D
[tex]( \frac{2}{3} )^{ - 5} = \frac{ {2}^{ - 5} }{ {3}^{ - 5} } \\ = \frac{ \frac{1}{ {2}^{5} } }{ \frac{1}{ {3}^{5} } } \\ = \frac{ \frac{1}{32} }{ \frac{1}{243} } \\ = \frac{243}{32} [/tex]
37. B
[tex]( - \frac{1}{3} )^{ - 3} \div ( - \frac{1}{3} ) ^{2} = (- \frac{1}{3}) ^{ - 3 - 2} \\ = ( - { \frac{1}{3} })^{ - 5} \\ = { \frac{1}{3} }^{5} [/tex]
Answer By : @mlk39
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