Question

100 point question no spam​

Answer 1

Answer:

THE FINAL ANSWER IS 65/16

Step-by-step explanation:

(64/125)^-2/3=25/16

(256/625)^1/4=4/5

25^1/2=5

CUBE ROOT OF 64=4

25/16+5/4+5/4=65/16

Answer 2

We will simplify each term independently,

$\bold{\Longrightarrow {\frac{64}{125}}^{\frac{-2}{3}} = {{(\frac{4}{5}}^{3})}^{\frac{-2}{3}} = \frac{25}{16}} \\ \\ \bold{\Longrightarrow {\frac{256}{625}}^{\frac{-1}{4}} = {({\frac{4}{5}}^{4})}^{\frac{-1}{4}} = \frac{5}{4}} \\ \\ \bold{\Longrightarrow \frac{{25}^{\frac{1}{2}}}{{64}^{\frac{1}{3}}} = \frac{5}{4}}$

Now add up all simplified terms,

→ 25/16 + 5/4 +5/4

By taking L.C.M of dinominator we get 16.

→ (25 + 5 × 4 + 5 × 4)/16

→ (25 + 20 + 20)/16

→ 65/16

Since this cant be simplified further therefore answer is 65/16.

Answer : 65/16