Instructions
What should come in place of the question mark (?) in the following questions?
Solution
Expression : $${8^{1.1}} \times {4^2}^{.7} \times {2^{3.3}} = {2^?}$$
=> $$(2)^{3 \times 1.1} \times (2)^{2 \times 0.7} \times (2)^{3.3} = (2)^x$$
=> $$(2)^{3.3} \times (2)^{1.4} \times (2)^{3.3} = (2)^x$$
=> $$(2)^{3.3 + 1.4 + 3.3} = (2)^x$$
Comparing both sides, we get :
=> $$x = 3.3 + 1.4 + 3.3 = 8$$
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