Question

(2/3)²÷(4/5)³×(3/5)²​

Answer 1

Answer:

Given:

• $\sf (\dfrac{2}{3})^2 ÷ (\dfrac{4}{5})^3 × (\dfrac{3}{5})^2$

Calculation:

= $\sf (\dfrac{2}{3})^2 ÷ (\dfrac{4}{5})^3 × (\dfrac{3}{5})^2$

= $\sf (\dfrac{2}{3} \times \dfrac{2}{3}) \times (\dfrac{4}{5} \times \dfrac{4}{5} \times \dfrac{4}{5}) \times (\dfrac{3}{5} \times \dfrac{3}{5})$

= $\sf \dfrac{5}{4} \times 4$

${\sf{\underline{\boxed{\green{\sf{= \dfrac{5}{16} }}}}}}$

This is the answer!

Answer 2

$(\frac{2}{3})^{2} / (\frac{4}{5})^{3} * (\frac{3}{5} )^{2}$

First of all we need to know the concept of exponents. We can apply laws of exponent if possible otherwise we can substitute the values. So in this question we will substitute the values.

$\frac{4}{9} / \frac{64}{125} * \frac{9}{25}$

$\frac{4}{9} *\frac{125}{64} *\frac{9}{25} = \frac{5}{16}$