Penjelasan dengan langkah-langkah:
**Jawab:****Penjelasan dengan langkah-langkah:**a.![(\frac{x^{-5}y^4}{xy^3}) ^{-2}. (\frac{x^{7}y^{-3}}{x^{-4}y^6}) ^{-\frac{1}{2} }=(x^{-5}y^4 : xy^3}) ^{-2}. (x^{7}y^{-3}}:{x^{-4}y^6}) ^{-\frac{1}{2} }](https://mathresource.studyquicks.com/tiku/seahk_d2fa75be8e984c11d3c0d97e34d8744e.jpg)![=(x^{-5-1}y^{4-3} ) ^{-2}. (x^{7-(-4)}y^{-3-6}}) ^{-\frac{1}{2} }](https://mathresource.studyquicks.com/tiku/seahk_9ce4c4a2c79298766e57fe1e35469fcd.jpg)![=(x^{-6}y^{} ) ^{-2}. (x^{11}y^{-9}}) ^{-\frac{1}{2} }](https://mathresource.studyquicks.com/tiku/seahk_16f4c5a4b464872a1d5064c0735421f3.jpg)![=(x^{-6(-2)}y^{-2} ) . (x^{11(-\frac{1}{2} )}y^{-9(-\frac{1}{2} )}})](https://mathresource.studyquicks.com/tiku/seahk_a7477bf188f99ec8868e9c3cdb45b74c.jpg)![=(x^{12}y^{-2} ) . (x^{-\frac{11}{2} }y^{\frac{9}{2} }})](https://mathresource.studyquicks.com/tiku/seahk_c213510e9020e83074acb7f01c79b901.jpg)![=x^{12-\frac{11}{2}}y^{-2+\frac{9}{2} }} =x^{\frac{24-11}{2}}y^{\frac{-4+9}{2} }} =x^{\frac{13}{2}}y^{\frac{5}{2} }} =(x^{13}y^5)^{\frac{1}{2} } =\sqrt{x^{13}y^5}](https://mathresource.studyquicks.com/tiku/seahk_5457737a9cfe26b9e0ea18a3da9bd2f3.jpg)b. ![\frac{(m^{10}n^{-2})^3(m^5n^{-5})^3}{mn} = \frac{(m^{10(3)}n^{-2(3)})(m^{5(3)}n^{-5(3)})}{mn}](https://mathresource.studyquicks.com/tiku/seahk_9c53651fdd9e2ee1acc8842685e00502.jpg)![= \frac{(m^{30}n^{-6})(m^{15}n^{-15})}{mn} = \frac{m^{30+15}n^{-6-15}}{mn} = \frac{m^{45}n^{-21}}{mn} =m^{45}n^{-21}:mn](https://mathresource.studyquicks.com/tiku/seahk_4f4a61a8ea927711219b6cd5c3d4589c.jpg)![=m^{45-1}n^{-21-1} = =m^{44}n^{-22}](https://mathresource.studyquicks.com/tiku/seahk_67648534b068924ea11540e57b223c92.jpg)c. ![\frac{p+q}{\sqrt{p}-\sqrt{q} } = \frac{p+q}{\sqrt{p}-\sqrt{q} } . \frac{\sqrt{p}+\sqrt{q}}{\sqrt{p}+\sqrt{q} } = \frac{p+q(\sqrt{p}+\sqrt{q})}{p-q }](https://mathresource.studyquicks.com/tiku/seahk_76d5583ed45fe1d9c64a3067c0c680d4.jpg) ndak tau, malah lebih sederhana yg di soald. ![log (\frac{t+6}{36-t^2} ) = log (\frac{t+6}{6^2-t^2} )= log (\frac{t+6}{(t+6)(t-6)} ) = log (\frac{1}{t-6} )](https://mathresource.studyquicks.com/tiku/seahk_d79176eeee036f01b52a886c7bddccaf.jpg)![= log 1 - log (t-6) = 0 - log (t-6) = - log (t-6)](https://mathresource.studyquicks.com/tiku/seahk_417e3852bce98322dbb0a2606bf7f423.jpg)c dan d ga yakin sih jawabannya
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2025 KUDO.TIPS - All rights reserved.
Penjelasan dengan langkah-langkah:
**Jawab:****Penjelasan dengan langkah-langkah:**a.![(\frac{x^{-5}y^4}{xy^3}) ^{-2}. (\frac{x^{7}y^{-3}}{x^{-4}y^6}) ^{-\frac{1}{2} }=(x^{-5}y^4 : xy^3}) ^{-2}. (x^{7}y^{-3}}:{x^{-4}y^6}) ^{-\frac{1}{2} }](https://mathresource.studyquicks.com/tiku/seahk_d2fa75be8e984c11d3c0d97e34d8744e.jpg)![=(x^{-5-1}y^{4-3} ) ^{-2}. (x^{7-(-4)}y^{-3-6}}) ^{-\frac{1}{2} }](https://mathresource.studyquicks.com/tiku/seahk_9ce4c4a2c79298766e57fe1e35469fcd.jpg)![=(x^{-6}y^{} ) ^{-2}. (x^{11}y^{-9}}) ^{-\frac{1}{2} }](https://mathresource.studyquicks.com/tiku/seahk_16f4c5a4b464872a1d5064c0735421f3.jpg)![=(x^{-6(-2)}y^{-2} ) . (x^{11(-\frac{1}{2} )}y^{-9(-\frac{1}{2} )}})](https://mathresource.studyquicks.com/tiku/seahk_a7477bf188f99ec8868e9c3cdb45b74c.jpg)![=(x^{12}y^{-2} ) . (x^{-\frac{11}{2} }y^{\frac{9}{2} }})](https://mathresource.studyquicks.com/tiku/seahk_c213510e9020e83074acb7f01c79b901.jpg)![=x^{12-\frac{11}{2}}y^{-2+\frac{9}{2} }} =x^{\frac{24-11}{2}}y^{\frac{-4+9}{2} }} =x^{\frac{13}{2}}y^{\frac{5}{2} }} =(x^{13}y^5)^{\frac{1}{2} } =\sqrt{x^{13}y^5}](https://mathresource.studyquicks.com/tiku/seahk_5457737a9cfe26b9e0ea18a3da9bd2f3.jpg)b. ![\frac{(m^{10}n^{-2})^3(m^5n^{-5})^3}{mn} = \frac{(m^{10(3)}n^{-2(3)})(m^{5(3)}n^{-5(3)})}{mn}](https://mathresource.studyquicks.com/tiku/seahk_9c53651fdd9e2ee1acc8842685e00502.jpg)![= \frac{(m^{30}n^{-6})(m^{15}n^{-15})}{mn} = \frac{m^{30+15}n^{-6-15}}{mn} = \frac{m^{45}n^{-21}}{mn} =m^{45}n^{-21}:mn](https://mathresource.studyquicks.com/tiku/seahk_4f4a61a8ea927711219b6cd5c3d4589c.jpg)![=m^{45-1}n^{-21-1} = =m^{44}n^{-22}](https://mathresource.studyquicks.com/tiku/seahk_67648534b068924ea11540e57b223c92.jpg)c. ![\frac{p+q}{\sqrt{p}-\sqrt{q} } = \frac{p+q}{\sqrt{p}-\sqrt{q} } . \frac{\sqrt{p}+\sqrt{q}}{\sqrt{p}+\sqrt{q} } = \frac{p+q(\sqrt{p}+\sqrt{q})}{p-q }](https://mathresource.studyquicks.com/tiku/seahk_76d5583ed45fe1d9c64a3067c0c680d4.jpg) ndak tau, malah lebih sederhana yg di soald. ![log (\frac{t+6}{36-t^2} ) = log (\frac{t+6}{6^2-t^2} )= log (\frac{t+6}{(t+6)(t-6)} ) = log (\frac{1}{t-6} )](https://mathresource.studyquicks.com/tiku/seahk_d79176eeee036f01b52a886c7bddccaf.jpg)![= log 1 - log (t-6) = 0 - log (t-6) = - log (t-6)](https://mathresource.studyquicks.com/tiku/seahk_417e3852bce98322dbb0a2606bf7f423.jpg)c dan d ga yakin sih jawabannya