Question
\( (7.10^{8}).(3.10^{5}) \)
Ask by Boone Harmon. in Brazil
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
O resultado é \( 2.1 \times 10^{14} \).
Solution
Calculate the value by following steps:
- step0: Calculate:
\(7\times 10^{8}\times 3\times 10^{5}\)
- step1: Multiply the numbers:
\(21\times 10^{8}\times 10^{5}\)
- step2: Multiply:
\(21\times 10^{13}\)
- step3: Rewrite the number:
\(2.1\times 10^{14}\)
O resultado da multiplicação \( (7 \times 10^{8}) \cdot (3 \times 10^{5}) \) é \( 2.1 \times 10^{14} \).
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Extra Insights
To simplify \( (7.10^{8}).(3.10^{5}) \), first, multiply the coefficients 7 and 3 to get 21. Then, add the exponents of the powers of 10: \( 8 + 5 = 13 \). So, you’d have \( 21.10^{13} \). However, to express it in proper scientific notation, since 21 is greater than 10, we rewrite it as \( 2.1 \times 10^1 \) and combine that with \( 10^{13} \), resulting in \( 2.1 \times 10^{14} \).