Multiply. Write your answer in scientific notation. (7 * 10^4)(1 * 10^4) ______

Identify numbers: Identify the numbers to be multiplied. We have: (7 × 10^4)(1 × 10^4) Group the coefficients and power terms together. Coefficients: 7 and 1 Power terms: 10^4 and 10^4Group coefficients and powers: Multiply the coefficients. What is 7 × 1? Multiply the coefficients. 7 × 1 = 7Multiply coefficients: Combine the power terms. Write 10^4 × 10^4 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^4 × 10^4 = 10^(4 + 4) = 10^8Combine power terms: Combine the results from Step 2 and Step 3. We found: Coefficient = 7 Power term = 10^8 Write the final answer in scientific notation. Substitute 7 for the coefficient and 8 for the exponent in a × 10^b. Scientific notation: 7 × 10^8

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Multiply. Write your answer in scientific notation. $\newline$ $(7 \times 10^4)(1 \times 10^4)$

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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

(7 \times 10^4)(1 \times 10^4)

Identify numbers: Identify the numbers to be multiplied. $\newline$ We have: $7 \times 10^4$ ( $1$ \times $10$ ^ $4$ ) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $7$ and $1$ $\newline$ Power terms: $10^4$ and $10^4$
Group coefficients and powers: Multiply the coefficients. $\newline$ What is $7 \times 1$ ? Multiply the coefficients. $\newline$ $7 \times 1 = 7$
Multiply coefficients: Combine the power terms. $\newline$ Write $10^4 \times 10^4$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^4 \times 10^4$ $\newline$ $= 10^{4 + 4}$ $\newline$ $= 10^8$
Combine power terms: Combine the results from Step $2$ and Step $3$ . $\newline$ We found: $\newline$ Coefficient = $7$ $\newline$ Power term = $10^8$ $\newline$ Write the final answer in scientific notation. Substitute $7$ for the coefficient and $8$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $7 \times 10^8$