Multiply. Write your answer in scientific notation. (4 * 10^5)(2 * 10^4) ______

Identify Components: Identify the components of the multiplication problem. We have two numbers in scientific notation: (4 * 10^5) and (2 * 10^4). We need to multiply the coefficients (4 and 2) and then multiply the power terms (10^5 and 10^4) separately.Multiply Coefficients: Multiply the coefficients. We multiply the coefficients 4 and 2 to get the new coefficient. 4 * 2 = 8Multiply Power Terms: Multiply the power terms. When multiplying powers with the same base, we add the exponents. So we add the exponents 5 and 4. 10^5 * 10^4 = 10^(5 + 4) = 10^9Combine Final Answer: Combine the results to write the final answer in scientific notation. We have the coefficient 8 from Step 2 and the power term 10^9 from Step 3. We combine these to write the answer in scientific notation. Final answer: 8 * 10^9

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Multiply. Write your answer in scientific notation. $\newline$ $(4 \times 10^5)(2 \times 10^4)$ $\newline$ ______

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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

(4 \times 10^5)(2 \times 10^4)

\newline

______

Identify Components: Identify the components of the multiplication problem. $\newline$ We have two numbers in scientific notation: $4 \times 10^5$ and $2 \times 10^4$ . We need to multiply the coefficients $4$ and $2$ and then multiply the power terms $10^5$ and $10^4$ separately.
Multiply Coefficients: Multiply the coefficients. $\newline$ We multiply the coefficients $4$ and $2$ to get the new coefficient. $\newline$ $4 \times 2 = 8$
Multiply Power Terms: Multiply the power terms. $\newline$ When multiplying powers with the same base, we add the exponents. So we add the exponents $5$ and $4$ . $\newline$ $10^5 \times 10^4 = 10^{5 + 4} = 10^9$
Combine Final Answer: Combine the results to write the final answer in scientific notation. $\newline$ We have the coefficient $8$ from Step $2$ and the power term $10^9$ from Step $3$ . We combine these to write the answer in scientific notation. $\newline$ Final answer: $8 \times 10^9$