Question
c. \( \left(3 \cdot 10^{8}\right)\left(2 \cdot 10^{7}\right) \div\left(3 \cdot 10^{13}\right)=\square \) (Use scientific notation.)
Ask by Hill Powell. in the United States
Feb 04,2025
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Tutor-Verified Answer
Answer
The final answer is \( 2 \times 10^{2} \).
Solution
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Bonus Knowledge
First, let's simplify the expression step by step. 1. Multiply the coefficients and combine the powers of ten: \[ (3 \cdot 2) \cdot (10^{8} \cdot 10^{7}) = 6 \cdot 10^{15} \] 2. Now divide by \(3 \cdot 10^{13}\): \[ \frac{6 \cdot 10^{15}}{3 \cdot 10^{13}} = \frac{6}{3} \cdot \frac{10^{15}}{10^{13}} = 2 \cdot 10^{2} \] Thus, the answer in scientific notation is \(2 \cdot 10^{2}\).