Multiply. Write your answer in scientific notation. (2 * 10^1)(3 * 10^4) ______

Group Coefficients and Powers: We have the expression (2 * 10^1)(3 * 10^4). First, we need to group the coefficients and the power terms together. Coefficients: 2 and 3 Power terms: 10^1 and 10^4Multiply Coefficients: Multiply the coefficients together. What is 2 * 3? 2 * 3 = 6Combine Power Terms: Combine the power terms 10^1 * 10^4 into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^1 * 10^4 = 10^(1 + 4) = 10^5Write in Scientific Notation: Now we have the coefficient 6 and the power term 10^5. We can write the final answer in scientific notation by combining these. Scientific notation: 6 * 10^5

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Multiply. Write your answer in scientific notation. $\newline$ $(2 \times 10^1)(3 \times 10^4)$ $\newline$ ______

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Algebra 1

Multiply numbers written in scientific notation

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Q. Multiply. Write your answer in scientific notation.

\newline

(2 \times 10^1)(3 \times 10^4)

\newline

______

Group Coefficients and Powers: We have the expression $2 \times 10^1$ ( $3$ \times $10$ ^ $4$ \). First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $2$ and $3$ $\newline$ Power terms: $10^1$ and $10^4$
Multiply Coefficients: Multiply the coefficients together. What is $2 \times 3$ ? $\newline$ $2 \times 3 = 6$
Combine Power Terms: Combine the power terms $10^1 \times 10^4$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^1 \times 10^4 = 10^{1 + 4} = 10^5$
Write in Scientific Notation: Now we have the coefficient $6$ and the power term $10^5$ . We can write the final answer in scientific notation by combining these. $\newline$ Scientific notation: $6 \times 10^5$