Question

If x=(3/4)².(2/3)⁴ find thr value of x²​

Answer 1

Answer:

i think 1/9 is the value of x

Answer 2

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

Given:

• x=(3/4)².(2/3)⁴

To Find:

• Value of x²

Solution:

$\implies x = \left(\dfrac{3}{4}\right)^2\times \left(\dfrac{2}{3}\right)^4 \\\\\implies x = \left(\dfrac{3^2}{4^2}\right) \times \left(\dfrac{2^4}{3^4}\right) \\\\\implies x = \left(\dfrac{3^2\times 2^4}{2^{2^2} \times 3^4}\right) \\\\\implies x = \left(\dfrac{3^2\!\!\!\!/\:\:\times 2^4\!\!\!\!/}{2^4\!\!\!\!/ \:\:\times 3^4\!\!\!\!\!/_{\:\:\:3^2}}\right) \\\\\implies x = \dfrac{1}{3^2} = \dfrac{1}{9} \\\\\implies x^2 = \left(\dfrac{1}{9}\right)^2 \\\\\bold{\implies x^2 = \left(\dfrac{1}{81}\right) }$

Hope it helps!