Question

if${(2 \div 3)}^{6} \times {(9 \div 4)}^{5} = {(3 \div 2)}^{m + 2}$
then find the value of m

Answer 1

${( \frac{2}{3} )}^{6} \times {( \frac{9}{4}) }^{5} = {( \frac{3}{2}) }^{m + 2} \\ { (\frac{2}{3}) }^{6} \times {( \frac{3}{2} )}^{10} = {( \frac{3}{2} )}^{m + 2} \\ {( \frac{3}{2}) }^{ - 6} \times {( \frac{3}{2} )}^{10} = {( \frac{3}{2}) }^{m + 2} \\ {( \frac{3}{2}) }^{4} = {( \frac{3}{2}) }^{m + 2} \\ 4 = m + 2 \\ m = 4 - 2 \\ m = 2 \\ i \: hope \: it \: help \: u \:$