Conner Fernandez
03/20/2023 · High School
10:22 AM Sat 21 Sep \( 79 \% \) AA www-awu.aleks.com Content / Introductory Chemistry_203 A ALEKS - Ghala A Alajaji - Knowledge Check ChatGPT I OpenAI ChatGPT Module Knowledge Check Question 5 Calculate \[ \left(2.00 \times 10^{-1}\right)^{-3} \] Write your answer in scientific notation. \( \square \)
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To calculate \((2.00 \times 10^{-1})^{-3}\), we need to raise the base to the power of -3.
\((2.00 \times 10^{-1})^{-3} = \frac{1}{(2.00 \times 10^{-1})^3}\)
\((2.00 \times 10^{-1})^3 = 2.00^3 \times (10^{-1})^3 = 8.00 \times 10^{-3}\)
Therefore, \((2.00 \times 10^{-1})^{-3} = \frac{1}{8.00 \times 10^{-3}} = 1.25 \times 10^2\)
Quick Answer
\(1.25 \times 10^2\)
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