Question

Pls solve this plèeeeeeeeease

Answer 1

Answer:

$\dfrac{5^7}{2} = \dfrac{78125}{2}$

Step-by-step explanation:

$\left( \dfrac{4}{5} \right)^2 \times 5^4 \times \left( \dfrac{2}{5} \right)^{-2} \div \left( \dfrac{5}{2} \right)^{-3} =$

$= \dfrac{4^2}{5^2} \times 5^4 \times \dfrac{5^2}{2^2} \times \dfrac{5^3}{2^3}$

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

$= \dfrac{2^4}{5^2} \times 5^4 \times \dfrac{5^2}{2^2} \times \dfrac{5^3}{2^3}$

$= 2^{4 - 2 - 3} \times 5^{- 2 + 4 + 2 + 3}$

$= 2^{-1} \times 5^{7}$

$= \dfrac{5^7}{2}$

$= \dfrac{78125}{2}$