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

Identify Components: Identify the components of the multiplication problem. We have two numbers in scientific notation: (3 * 10^4) and (2 * 10^3). We need to multiply the coefficients (3 and 2) and then deal with the powers of ten (10^4 and 10^3).Multiply Coefficients: Multiply the coefficients. The coefficients are 3 and 2. Multiplying these gives us: 3 * 2 = 6Add Exponents: Add the exponents of the powers of ten. When multiplying powers with the same base, we add the exponents. We have 10^4 and 10^3, so we add the exponents 4 and 3: 4 + 3 = 7 This gives us a new power of ten: 10^7.Combine Results: Combine the results to write the final answer in scientific notation. We have the coefficient 6 from Step 2 and the power term 10^7 from Step 3. We combine these to write the final answer in scientific notation: 6 * 10^7

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

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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

(3 \times 10^{4})(2 \times 10^{3})

Identify Components: Identify the components of the multiplication problem. $\newline$ We have two numbers in scientific notation: $3 \times 10^4$ and $2 \times 10^3$ . We need to multiply the coefficients $3$ and $2$ and then deal with the powers of ten $10^4$ and $10^3$ .
Multiply Coefficients: Multiply the coefficients. $\newline$ The coefficients are $3$ and $2$ . Multiplying these gives us: $\newline$ $3 \times 2 = 6$
Add Exponents: Add the exponents of the powers of ten. $\newline$ When multiplying powers with the same base, we add the exponents. We have $10^4$ and $10^3$ , so we add the exponents $4$ and $3$ : $\newline$ $4 + 3 = 7$ $\newline$ This gives us a new power of ten: $10^7$ .
Combine Results: Combine the results to write the final answer in scientific notation. $\newline$ We have the coefficient $6$ from Step $2$ and the power term $10^7$ from Step $3$ . We combine these to write the final answer in scientific notation: $\newline$ $6 \times 10^7$