Instructions

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

Question 52

$$(2.25))^{2} \div (3.375)^{4} \times (1.5)^{5} = (1.5)^{?-7}$$

Solution

Expression : $$(2.25))^{2} \div (3.375)^{4} \times (1.5)^{5} = (1.5)^{?-7}$$

=> $$(1.5)^{2 \times 2} \times \frac{1}{(1.5)^{3 \times 4}} \times (1.5)^5 = (1.5)^{x - 7}$$

=> $$(1.5)^{4 - 12 + 5} = (1.5)^{x - 7}$$

=> $$-3 = x - 7$$

=> $$x = 7 - 3 = 4$$


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