Question #e280e

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Question #e280e

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Answer 1 · 2015-08-10T02:17:44

$(6.000 \times 10^{- 11}) \times (\frac{1.00 \times 10^{26}}{2.00 \times 10^{7}}) = 3.00 \times 10^{8}$ $(6.000×10^-11 )×((1.00×10^26)/(2.00×10^7)) = 3.00 × 10^8$

Explanation:

Group the pre-exponential terms and the exponential terms together.

$(6.000 \times 10^{- 11}) \times (\frac{1.00 \times 10^{26}}{2.00 \times 10^{7}})$ $(6.000×10^-11 )×((1.00×10^26)/(2.00×10^7))$

$= (6.000 \times \frac{1.00}{2.00}) \times (10^{- 11} \times \frac{10^{26}}{10^{7}})$ $= (6.000×1.00/2.00) × (10^-11 × 10^26/10^7)$

$= 3.00 \times 10^{- 11 + 26 - 7}$ $= 3.00 × 10^(-11+26-7)$

$= 3.00 \times 10^{8}$ $= 3.00 × 10^8$

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