Simplify this expression and put your final answer in Scientific Notation: 2.7 × 10^5 frac 3.2×10^7(4 points)

Question

Step 1:
the coefficients.

Step 2:
to simplify the exponents.

Step 3:
to change into Scientific Notation.

Step 4:
is the simplified answer.

options: divide, multiply, add, subtract, add the exponent, subtract the exponent, do not change the exponent

Answer 1

To simplify the expression \( \frac{2.7 \times 10^5}{3.2 \times 10^7} \), we will follow the steps outlined:

Step 1: Simplify the coefficients

Divide the coefficients: \[ \frac{2.7}{3.2} \] Calculating this gives: \[ 2.7 \div 3.2 \approx 0.84375 \]

Step 2: Simplify the exponents

Now, we will subtract the exponents: \[ 10^5 \div 10^7 = 10^{5-7} = 10^{-2} \]

Step 3: Combine the results

Now we have: \[ 0.84375 \times 10^{-2} \]

Step 4: Change into Scientific Notation

To express \( 0.84375 \) in scientific notation, we can convert it to \( 8.4375 \times 10^{-1} \). Therefore: \[ 0.84375 \times 10^{-2} = 8.4375 \times 10^{-1} \times 10^{-2} \] Now add the exponents: \[ 8.4375 \times 10^{-1 - 2} = 8.4375 \times 10^{-3} \]

Final Answer

Putting it all together, the simplified expression in scientific notation is: \[ \boxed{8.4375 \times 10^{-3}} \]