CATAlgebra > Hardx7x23\frac{x^{7}}{x^{2 \sqrt{3}}}x23x7x72x43\frac{x^{\frac{7}{2}}}{x^{\frac{4}{\sqrt{3}}}}x34x27x72x23\frac{x^{\frac{7}{2}}}{x^{2\sqrt{3}}}x23x27x7x43\frac{x^{7}}{x^{4 \sqrt{3}}}x43x7✅ Correct Option: 3Related questions:CAT 2023 Slot 3Let nnn and mmm be two positive integers such that there are exactly 414141 integers greater than 8m8^m8m and less than 8n8^n8n, which can be expressed as powers of 222. Then, the smallest possible value of n+mn + mn+m is2025 Slot 3If 1212x×424x+12×52y=84z×2012x×2433x−612^{12x}\times4^{24x+12}\times5^{2y}=8^{4z}\times20^{12x}\times243^{3x-6}1212x×424x+12×52y=84z×2012x×2433x−6, where xxx, yyy and zzz are natural numbers, then x+y+zx+y+zx+y+z equalsCAT 2019 Slot 1If mmm and nnn are integers such that (2)1934429m8n=3n16m(644)(\sqrt{2})^{19} 3^{4} 4^{2} 9^m8^n = 3^n 16^m (\sqrt[4]{64})(2)1934429m8n=3n16m(464) then mmm is