Write the answer in proper scientific notation: (1)/(500 x10^(4))

Question

Write the answer in proper scientific notation:  (1)/(500 x10^(4))

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Express in Scientific Notation: First, we need to express 500 in scientific notation. 500 can be written as 5 x 10^2 because 5 times 10 squared equals 500.Rewrite with Scientific Notation: Now, we rewrite the original expression using the scientific notation for 500. The expression becomes (1)/(5 x 10^2 x 10^4).Combine Powers of 10: Next, we combine the powers of 10 using the rule of exponents that states when you multiply powers of 10, you add the exponents. So, 10^2 x 10^4 becomes 10^(2+4), which is 10^6.Adjust Coefficient: The expression is now (1)/(5 x 10^6). To write this in scientific notation, we need to have a number between 1 and 10 multiplied by a power of 10. Since 5 is already between 1 and 10, we can write the expression as 1 x 10^(-6) divided by 5.Divide in Scientific Notation: To divide by 5 in scientific notation, we can adjust the coefficient from 1 to 1/5. 1/5 is 0.2, so the expression in scientific notation is 0.2 x 10^(-6).Check Proper Notation: Finally, we check if 0.2 x 10^(-6) is in proper scientific notation. Since 0.2 is between 1 and 10, and the power of 10 is written as an exponent, the expression is in proper scientific notation.

Write the answer in proper scientific notation: $\newline$ $\frac{1}{500 x 10^{4}}$

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Write the answer in proper scientific notation: $\newline$ $\frac{1}{500 x 10^{4}}$