Instructions
What will come in place of the question mark (?) in the following questions?
Solution
Expression : $$(0.027)^2 \div (0.09)^5 \times (0.0081) = (0.3)^{?+4}$$
=> $$(0.3)^{3 \times 2} \times \frac{1}{(0.3)^{2 \times 5}} \times (0.3)^{4} = (0.3)^{x + 4}$$
=> $$(0.3)^{6 - 10 + 4} = (0.3)^{x + 4}$$
=> $$(0.3)^0 = (0.3)^{x + 4}$$
=> $$x + 4 = 0$$
=> $$x = -4$$
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