To simplify the expression \(\frac{2.7 \times 10^5}{3.2 \times 10^7}\) and put the final answer in Scientific Notation, we can follow the steps outlined:
Step 1: Divide the coefficients.
\[ \frac{2.7}{3.2} = 0.84375 \]
Step 2: Simplify the exponents.
Using the rules of exponents: \[ \frac{10^5}{10^7} = 10^{5 - 7} = 10^{-2} \]
Step 3: Combine the results.
Now we can combine the result of step 1 and step 2: \[ 0.84375 \times 10^{-2} \]
Step 4: Change into Scientific Notation.
We need to express \(0.84375\) in Scientific Notation. This can be done by moving the decimal point one place to the right: \[ 0.84375 = 8.4375 \times 10^{-1} \] Now plugging this back into our expression gives us: \[ (8.4375 \times 10^{-1}) \times 10^{-2} = 8.4375 \times 10^{-1 - 2} = 8.4375 \times 10^{-3} \]
Final Answer:
Now, our answer is in Scientific Notation: \[ \boxed{8.4375 \times 10^{-3}} \]