1. What will come in place of the question mark (?) in the following questions ? $$(0.0729 \div 0.1)^{3}\div (0.081 \times 10)^{5}$$ $$\times (0.3 \times 3)^{5}=(0.9)^{?+3}$$






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  • By: anil on 05 May 2019 04.05 pm
    Expression : $$(0.0729 div 0.1)^{3}div (0.081 imes 10)^{5}$$ $$ imes (0.3 imes 3)^{5}=(0.9)^{?+3}$$ => $$(frac{0.0729}{0.1})^3 div (0.81)^5 imes (0.9)^5 = (0.9)^{x + 3}$$ => $$(0.729)^3 imes frac{1}{(0.9^2)^5} imes (0.9)^5 = (0.9)^{x + 3}$$ => $$(0.9^3)^3 imes (0.9)^{5 - 10} = (0.9)^{x + 3}$$ => $$(0.9)^{9 - 5} = (0.9)^{x + 3}$$ Comparing powers on both sides => $$x + 3 = 4$$ => $$x = 4 - 3 = 1$$
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