Questions: Divide the following and express your answer in appropriate scientific notation: (8.74 × 10^-73) ÷ (3.8 × 10^-48) quotient =

Divide the following and express your answer in appropriate scientific notation:
(8.74 × 10^-73) ÷ (3.8 × 10^-48)
quotient =
Transcript text: Divide the following and express your answer in appropriate scientific notation: \[ \left(8.74 \times 10^{-73}\right) \div\left(3.8 \times 10^{-48}\right) \] quotient $=$ $\square$
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Solution

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Solution Steps

Step 1: Divide the Coefficients

To find the quotient of the coefficients, we calculate: \[ \frac{8.74}{3.8} = 2.3000 \]

Step 2: Subtract the Exponents

Next, we subtract the exponents of 10: \[ -73 - (-48) = -73 + 48 = -25 \]

Step 3: Combine the Results

Now, we combine the results from the previous steps to express the answer in scientific notation: \[ 2.3000 \times 10^{-25} \]

Final Answer

Thus, the final answer is \[ \boxed{2.3000 \times 10^{-25}} \]

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