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Multiply. Write your answer in scientific notation. $\newline$ $(7 \times 10^5)(1 \times 10^5)$

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Multiply numbers written in scientific notation

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Q. Multiply. Write your answer in scientific notation.

\newline

(7 \times 10^5)(1 \times 10^5)

Group Terms: We have the expression $7 \times 10^5$ ( $1$ \times $10$ ^ $5$ ). First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $7$ and $1$ $\newline$ Power terms: $10^5$ and $10^5$
Multiply Coefficients: Multiply the coefficients together. What is $7 \times 1$ ? $\newline$ $7 \times 1 = 7$
Combine Power Terms: Combine the power terms $10^5 \times 10^5$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^5 \times 10^5 = 10^{5 + 5} = 10^{10}$
Write in Scientific Notation: We have found the coefficient to be $7$ and the power term to be $10^{10}$ . Now, we write the final answer in scientific notation by substituting $7$ for the coefficient $a$ and $10$ for the exponent $b$ in the form $a \times 10^b$ . $\newline$ Scientific notation: $7 \times 10^{10}$

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