Question

simplify(64)/125)-2/3+1/(256 1/4/625+√25/5√64​

Answer 1

Answer:

64/125)^(-2/3) + (625/256)^1/4 + 25/3Root64

We know that,

64 = 4^3

125 = 5^3

625= 5^4

256 = 4^4

root 64 = 8

Substitute these values:

(4^3/5^3)(-2/3) + (5^4/4^4)^1/4 + 25/3*8

(4/5)^(-2) + (5/4) + 25/24

(5/4)^2 + 5/4 + 25/24

25/16 + 5/4 + 25/24

5/4* [ 5/4 + 1 + 5/6] =  5/4*[15+12+10/12]

= 5/4 * 37/12 = 185/48 = 3.85 (approx)

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