Question

Given below are two statements:

Statement I: $(243)^{0.16} \times (9)^{0.1} = 0.3$

Statement II: If $3.105 \times 10^P = 0.00239 + 0.000715$ , then $P = -3$

In the light of the above statements choose the most appropriate answer from the options given below:

Accepted Answer

D. Statement I: $$(243)^{0.16} 	imes (9)^{0.1} = (3^5)^{0.16} 	imes (3^2)^{0.1} = 3^{0.8} 	imes 3^{0.2} = 3^1 = 3 
eq 0.3$$ So Statement I is incorrect. Statement II: $$0.00239 + 0.000715 = 0.003105 = 3.105 	imes 10^{-3}$$ Therefore, $P = -3$. Statement II is correct.

Indices and Exponential Equations Statements

Explanation

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