if a sin 45 ˚ = b cosec 60 ˚ then find the value of a⁴/b⁴

a sin 45 ˚ = b cosec 60 ˚ or a x (1/√2) = b x (2/√3)`` or a/b =√2 x (2/√3) `` so, (a/b)⁴ = (√2 x (2/√3) )⁴ = 16 x (4/9) = 64/9

If = 4 then

(288 ÷ 8)² × (144 ÷ 24)³ = 24 × ? × (51840 ÷ 20)

If x

^{6}+ 1 – √3x^{3}= 0 then x^{108}+ x^{90}+ 15?If (x + y) = 6 and (x

^{2}+ y^{2}) = 20, then the value of (x – y)^{2}is equal to:If (a – 8)

^{2}+ (b + 2)^{2 }+ (c – 3)^{2}= 0, then find the value √(a - b + c).When 732 is divided by a positive integer x, the remainder is 12. How many values of x are there?

If {1/(y + 1) + 1/(y + 5)} = {1/(y + 2) + 1/(y + 4)}. Find the value of y

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