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:2025 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 2023 Slot 1If5x+9+5x−9=3(2+2)\sqrt{5x+9}+\sqrt{5x-9} = 3(2+\sqrt{2})5x+9+5x−9=3(2+2), then 10x+9\sqrt{10x + 9}10x+9 is equal toCAT 2019 Slot 1If (5.55)x=(0.555)y=1000(5.55)^x= (0.555)^y = 1000(5.55)x=(0.555)y=1000, then the value of 1x−1y\frac{1}{x} - \frac{1}{y}x1−y1 is