menyederhanakan A-E
pakai cara !!
1. Sederhanakanlah
[tex]\sf{a) \: {7}^{3}. \: {7}^{5}. \: {7}^{ - 2} = {7}^{3 + 5 - 2} = {7}^{6} }[/tex]
[tex]\sf{ b) \: {p}^{7} . \: {p}^{ - 1} = {p}^{7 - 1} = {p}^{6} }[/tex]
[tex]\sf{c) \: 10 \: . \: {10}^{6}. \: {10}^{ - 4}. \: {10}^{7}}[/tex]
[tex]\sf{ = {10}^{1 + 6 - 4 + 7} \: = {10}^{10} }[/tex]
[tex]\sf{d) \: ( \frac{1}{5})^{2} \: . \: ( \frac{1}{5 })^{ - 4} \: . \: ( \frac{1}{5})^{ - 4} }[/tex]
[tex]\sf{ = ( \frac{1}{5})^{2 - 4 - 4} = ( \frac{1}{5})^{ - 6} }[/tex]
[tex]\sf{ = ( \frac{ {1}^{ - 6} }{ {5}^{ - 6} }) \: = \frac{ {5}^{6} }{ {1}^{6} } = {5}^{6} }[/tex]
[tex]\sf{e) \: {5}^{3} \: . \: {5}^{ - 1} . \: {5}^{5}. \: {5}^{2} }[/tex]
[tex]\sf{ = {5}^{3 - 1 + 5 + 2} = {5}^{9} }[/tex]
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