Question

simplify it - [(2/3​)²]^−6×(2/3​)²×(3/2)^−10​

Answer 1

$\small\red{\boxed{Question = (( { \frac{2}{3} })^{2})^{ - 6} \times ( \frac{2}{3}) {}^{2} \times (\frac{3}{2} ) {}^{ - 10} }} \\ \\ \huge{solution : - } \\ \\ \color{blue}= (( { \frac{2}{3} })^{2})^{ - 6} \times ( \frac{2}{3}) {}^{2} \times (\frac{3}{2} ) {}^{ - 10} \\ \\ \color{blue} = ( { \frac{2}{3} })^{ - 12} \times ( { \frac{2}{3} })^{2} \times ( \frac{2}{3} ) {}^{10} \\ \\ \color{blue} = ( \frac{2}{3} ) {}^{ (- 12 + 2 + 10)} \\ \\ \color{blue} = ( { \frac{2}{3} })^{ (- 12 + 12)} \\ \\ \color{blue}= ( { \frac{2}{3} })^{0} \\ \\ \color{green} = 1 \: \: \: \: answer \\ \\ \\ \small\orange{\underline{ \underline{Hope It's Help You }: - }} \\ \\ \small\pink{\boxed{\boxed{it's ᭄亗 乄 ＭꫝղᎥនh 乄 亗✯❤࿐}}}$