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Instructions
What approximate value will come in place of question mark (?) in the given questions ? (You am not expected to calculate the exact value).
Solution
Let the unknown power be a.
$$3^{a} \times \sqrt{170} = 183.998\div8.001 + 328.02$$
Round off the values to the nearest whole number.
$$3^{a} \times \sqrt{170} = 184 \div 8 + 328$$
$$ \sqrt{170} \approx 13 ( 13^2 =169 )$$
$$3^{a} \times 13 = 23+ 328=351$$
$$3^a = \frac{351}{13}$$
$$3^a= 27$$
$$3^a= 3^3$$
$$a=3$$
Option E is the correct answer.
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