Question
Divide. Write your answe \( \frac{3 \times 10^{7}}{3 \times 10^{-4}} \)
Ask by Macdonald Gibson. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is \(10^{11}\).
Solution
Calculate or simplify the expression \( \frac{3 \times 10^{7}}{3 \times 10^{-4}} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{3\times 10^{7}}{3\times 10^{-4}}\)
- step1: Separate the fraction:
\(\frac{3}{3}\times \frac{10^{7}}{10^{-4}}\)
- step2: Divide:
\(1\times \frac{10^{7}}{10^{-4}}\)
- step3: Divide:
\(1\times 10^{7-\left(-4\right)}\)
- step4: Evaluate:
\(1\times 10^{11}\)
- step5: Rewrite the number:
\(10^{11}\)
The result of dividing \(3 \times 10^{7}\) by \(3 \times 10^{-4}\) is \(10^{11}\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
First, let's simplify the expression step by step! When you divide two numbers in scientific notation, you can divide the coefficients and subtract the exponents. Here, you divide 3 by 3 which gives you 1, and then you subtract the exponents: \(10^{7} \div 10^{-4}\) transforms to \(10^{7 - (-4)} = 10^{7 + 4} = 10^{11}\). So, your final answer is \(1 \times 10^{11}\), or simply \(10^{11}\). And just for some fun trivia, did you know that \(10^{11}\) is the same as 100 billion? In everyday terms, it could represent a mind-boggling amount of pennies stacked on top of each other, reaching over 2,000 miles high! Can you imagine that? That would certainly catch people's attention!
