Questions: 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 $=$ $\square$
Solution
Solution Steps
Step 1: Divide the Coefficients
To find the quotient of the coefficients, we calculate:
3.88.74=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:
2.3000×10−25