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Question 6 (2 points)
Simplify. Your answer should be in proper scientific notation:

(7.2 ×10^(5))(9×10^(7))

Question $6$ ( $2$ points) $\newline$ Simplify. Your answer should be in proper scientific notation: $\newline$ $\left(7.2 \times 10^{5}\right)\left(9 \times 10^{7}\right)$

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Convert between standard and scientific notation

Full solution

Q. Question

6

(

2

points)

\newline

Simplify. Your answer should be in proper scientific notation:

\newline

\left(7.2 \times 10^{5}\right)\left(9 \times 10^{7}\right)

Multiply Coefficients: Multiply the coefficients ( $7.2$ and $9$ ) together. $\newline$ Calculation: $7.2 \times 9 = 64.8$
Add Exponents: Add the exponents ( $5$ and $7$ ) from the powers of $10$ . $\newline$ Calculation: $5 + 7 = 12$
Combine Results: Combine the results from Step $1$ and Step $2$ to form the new scientific notation. $\newline$ Calculation: $64.8 \times 10^{12}$
Adjust Coefficient: Adjust the coefficient to be between $1$ and $10$ for proper scientific notation. Since $64.8$ is greater than $10$ , we need to move the decimal point one place to the left. $\newline$ Calculation: $64.8$ becomes $6.48$ $\newline$ To compensate for the decimal shift, we need to increase the exponent by $1$ . $\newline$ New exponent: $12 + 1 = 13$
Write Final Answer: Write the final answer in proper scientific notation. $\newline$ Calculation: $6.48 \times 10^{13}$

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