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What is the quotient of
9.12 ×10^(9) and
3.8 ×10^(5) expressed in scientific notation?
Answer:

What is the quotient of $9.12 \times 10^{9}$ and $3.8 \times 10^{5}$ expressed in scientific notation? $\newline$ Answer:

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Least common multiple

Full solution

Q. What is the quotient of

9.12 \times 10^{9}

and

3.8 \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 $9.12$ by $3.8$ . $\newline$ Calculation: $9.12 \div 3.8 = 2.4$
Subtract Exponents: Subtract the exponents of the powers of $10$ . We have $10^9$ divided by $10^5$ , which means we subtract the exponents $(9 - 5)$ . Calculation: $10^{(9-5)} = 10^4$
Combine Results: Combine the results of Step $1$ and Step $2$ to express the quotient in scientific notation. $\newline$ The quotient is $2.4$ (from Step $1$ ) times $10^4$ (from Step $2$ ). $\newline$ Calculation: $2.4 \times 10^4$

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