Question

find the value of x so that (-3/2)^6 x(4/9)^3=(1/2)^3x

Answer 1

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$= > \bf \: {( - \frac{ 3}{2}) }^{6} \times {( \frac{4}{9}) }^{3} = {( \frac{1}{2} )}^{3x} \\ \\ or. \: \: {( \frac{3}{2} )}^{6} \times { ({ (\frac{2}{3} )}^{2} )}^{3} = {( \frac{1}{2}) }^{3x} \\ \\ or. \: \: {( \frac{3}{2} )}^{6} \times {( \frac{2}{3} )}^{6} = {( \frac{1}{2} )}^{3x} \\ \\ or. \: \: {( \frac{1}{2}) }^{3x} = {( \frac{3}{2} \times \frac{2}{3} )}^{6} \\ \\ or. \: \: {(2)}^{ - 3x} = {1}^{6} = 1 \\ \\ so. \: \: \\ \\ \bf \: = > - 3x = 0 \\ \\ or. \: \: \bf \: x = 0$
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