Question

If a/b = (2/3)^3÷ (3/2)^−3 then the value of ( a/b )^−10​

Answer 1

$\huge \underline \bold \pink{Solution :}$

$\frac{ a}{b} = {( \frac{2}{3} )}^{3} \div {( \frac{3}{2} )}^{ - 3} \\ \\ = > \frac{ a}{b} = {( \frac{2}{3} )}^{3} \div {( \frac{2}{3} )}^{ 3} \\ \\ = > \frac{ a}{b} = 1$

Now,

${(\frac{ a}{b} )}^{ - 10} = {(1)}^{ - 10} = 1$

$\huge \fbox \green{Hope it helps ☺}$