Multiply. Write your answer in scientific notation. (6 * 10^1)(1 * 10^2)

Identify Numbers: Identify the numbers to be multiplied and group the coefficients and power terms together. Coefficients: 6 and 1 Power terms: 10^1 and 10^2Multiply Coefficients: Multiply the coefficients. 6 × 1 = 6Multiply Power Terms: Multiply the power terms by adding the exponents, since the base is the same (10). 10^1 × 10^2 = 10^(1 + 2) = 10^3Combine Results: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 6 Power term = 10^3 Scientific notation: 6 × 10^3

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Multiply. Write your answer in scientific notation. $\newline$ $(6 \times 10^1)(1 \times 10^2)$

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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

(6 \times 10^1)(1 \times 10^2)

Identify Numbers: Identify the numbers to be multiplied and group the coefficients and power terms together. $\newline$ Coefficients: $6$ and $1$ $\newline$ Power terms: $10^1$ and $10^2$
Multiply Coefficients: Multiply the coefficients. $\newline$ $6 \times 1 = 6$
Multiply Power Terms: Multiply the power terms by adding the exponents, since the base is the same $10$ . $10^1 \times 10^2 = 10^{(1 + 2)} = 10^3$
Combine Results: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $6$ $\newline$ Power term = $10^3$ $\newline$ Scientific notation: $6 \times 10^3$