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

Group Terms: We have the expression (2 * 10^3)(4 * 10^3). First, we need to group the coefficients and the power terms together. Coefficients: 2 and 4 Power terms: 10^3 and 10^3Multiply Coefficients: Multiply the coefficients together. What is 2 * 4? 2 * 4 = 8Combine Power Terms: Combine the power terms 10^3 * 10^3 into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^3 * 10^3 = 10^(3 + 3) = 10^6Final Answer in Scientific Notation: We have found: Coefficient = 8 Power term = 10^6 Now, write the final answer in scientific notation by substituting 8 for the coefficient and 6 for the exponent. Scientific notation: 8 * 10^6

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

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

Group Terms: We have the expression $2 \times 10^3)\$4 \times 10^3$ . First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $2$ and $4$ $\newline$ Power terms: $10^3$ and $10^3$
Multiply Coefficients: Multiply the coefficients together. What is $2 \times 4$ ? $\newline$ $2 \times 4 = 8$
Combine Power Terms: Combine the power terms $10^3 \times 10^3$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^3 \times 10^3$ $\newline$ $= 10^{3 + 3}$ $\newline$ $= 10^6$
Final Answer in Scientific Notation: We have found: $\newline$ Coefficient = $8$ $\newline$ Power term = $10^6$ $\newline$ Now, write the final answer in scientific notation by substituting $8$ for the coefficient and $6$ for the exponent. $\newline$ Scientific notation: $8 \times 10^6$