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What is the quotient of
7.67 ×10^(9) and
5.9 ×10^(5) expressed in scientific notation?
Answer:

What is the quotient of $7.67 \times 10^{9}$ and $5.9 \times 10^{5}$ expressed in scientific notation? $\newline$ Answer:

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Least common multiple

Full solution

Q. What is the quotient of

7.67 \times 10^{9}

and

5.9 \times 10^{5}

expressed in scientific notation?

\newline

Answer:

Divide Decimal Parts: Divide the decimal parts of the given numbers. $\newline$ We need to divide $7.67$ by $5.9$ . $\newline$ Calculation: $7.67 \div 5.9 \approx 1.3$ (rounded to two significant figures to match the precision of the given numbers).
Subtract Exponents: Subtract the exponents of the powers of $10$ . We have $10^9$ divided by $10^5$ , which means we subtract the exponents: $9 - 5 = 4$ . Calculation: $10^{(9-5)} = 10^4$ .
Combine Results: Combine the results of Step $1$ and Step $2$ to express the quotient in scientific notation. $\newline$ We multiply the result from Step $1$ by the result from Step $2$ . $\newline$ Calculation: $1.3 \times 10^4$ .

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