Question 20

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:

Solution

Statement I:

$$\left(243\right)^{0.16}\times\left(9\right)^{0.1}=3^{0.8}\times3^{0.2}=3$$

Therefore, statement I is incorrect.

Statement II:

$$3.105\times10^P=0.00239+0.000715$$

$$3.105\times10^P=0.003105$$

$$3105\times10^P=3.105$$

P = -3

Therefore, statement II is correct.

The answer is option D.


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