IMAT 2018 Q60 [Evaluation]

Evaluate

(3\times 10^3)^3 \times (2\times 10^{-5})

A. 5.4 × 10^{–1}
B. 5.4 × 10^{2}
C. 5.4 × 10^{1}
D. 5.4 × 10^{5}
E. 5.4 × 10^{4}

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Let’s evaluate the sequence:

(3 \cdot 10^3)^3 \cdot (2 \cdot 10^{-5}) = 3^3 \cdot 10^{3\cdot3}\cdot 2 \cdot 10^{-5} = 27 \cdot 2 \cdot 10^{9 -5} = 54 \cdot 10^4 = 5.4 \cdot 10^5.

So the correct answer is: (D)

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