$$\frac{125^{2}\times\sqrt{(15)}\times5^{3}}{\sqrt{(375)}}=5^{11-?}$$

Solution

Expression : $$\frac{125^{2}\times\sqrt{(15)}\times5^{3}}{\sqrt{(375)}}=5^{11-?}$$

=> $$\frac{(5)^6 \times \sqrt{15} \times (5)^3}{5 \sqrt{15}} = 5^{11-?}$$

=> $$5^{6 + 3 - 1} = 5^{11-?}$$

=> $$11 - x = 8$$

=> $$x = 11 - 8 = 3$$

Create a FREE account and get: