Instructions

What will come in place of the question mark (?) in the given questions ?

Question 113

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

Solution

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

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

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

=> $$11 - x = 8$$

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


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