A Nice Exponential Problem | Math Olympiad

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2^{x+x ➖ }+{3y+3y ➖ }= 2^{x^2+6y^2}=2^6xy^4 =64xy^4 8^8xy^4 2^3^2^3xy^2^2 1^1^1^1^1^1xy^1^2 xy^12 (xy ➖ 2xy+1).;2^{3x+3x ➖ }{y+y ➖ }=2^{6x^2^y^2}=2^6^xy^4 64xy^4 8^8xy^4 2^32^3xy^2^2 1^1^1^1^1^1xy^1^2 xy^1^2 (xy ➖ 2xy+1).100^100^24 10^10^10^104^6 2^5^2^52^5^2^52^2^3^2.1^1^1^1^1^1^1^11^13^2 3^2 (y ➖ 3x+2). 8^8 2^32^3 1^1^1^1^1^2 1^2 (y ➖ 2x+1).