Divide. Write your answe \( \frac{3 \times 10^{7}}{3 \times 10^{-4}} \)
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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!
