دانلود اپلیکیشن
حاصل عبارت های زیر را به صورت توان دار بنویسید.
\(\frac{{{7^3}}}{{{7^5}}} = \) الف
ب \({2^{ - 2}} - {5^{ - 2}} = \)
ج \({\left( {\frac{{ - 2}}{3}} \right)^{ - 3}} \times {12^{ - 3}} = \)
د \({\left[ {{{\left( { - \frac{2}{5}} \right)}^{ - 2}}} \right]^{ - 1}} = \)
هـ \(\frac{{{2^8} \times {5^{10}}}}{{{2^4} \times {5^6}}} = {2^{8 - 4}} \times {5^{10 - 6}} = \)
و \(\frac{{{x^5}.{y^2}.z}}{{{x^{ - 2}}.{y^7}.{z^3}}} = {x^{5 - \left( { - 2} \right)}}.{y^{2 - 7}}.{z^{1 - 3}} = \;\;\;\;\;\;\;\;x,y,z \ne 0\)
\(\frac{{{7^3}}}{{{7^5}}} = {7^{3 - 5}} = {7^{ - 2}} = {\left( {\frac{1}{7}} \right)^2}\) الف
ب \({2^{ - 2}} - {5^{ - 2}} = {\left( {2 \times 5} \right)^{ - 2}} = {10^{ - 2}} = {\left( {\frac{1}{{10}}} \right)^2}\)
ج \({\left( { - \frac{2}{3}} \right)^{ - 3}} \times {12^{ - 3}} = {\left( { - \frac{2}{3} \times 12} \right)^{ - 3}} = {\left( { - 8} \right)^{ - 3}} = {\left( { - \frac{1}{8}} \right)^3}\)
د \({\left[ {{{\left( { - \frac{2}{5}} \right)}^{ - 2}}} \right]^{ - 1}} = {\left( { - \frac{2}{5}} \right)^{ - 2 \times - 1}} = {\left( { - \frac{2}{5}} \right)^2} = {\left( {\frac{2}{5}} \right)^2}\)
هـ \(\frac{{{2^8} \times {5^{10}}}}{{{2^4} \times {5^6}}} = {2^{8 - 4}} \times {5^{10 - 6}} = {2^4} \times {5^4} = {10^4}\)
و \(\frac{{{x^5}.{y^2}.z}}{{{x^{ - 2}}.{y^7}.{z^3}}} = {x^{5 - \left( { - 2} \right)}}.{y^{2 - 7}}.{z^{1 - 3}} = {x^7}.{y^{ - 5}}.{z^{ - 2}} = \frac{{{x^7}}}{{{y^5}.{z^2}}}\)
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