Simplify this expression and put your final answer in Scientific Notation: 2.7×1053.2×107

Question

(4 points)
Step 1:
Multiply
the coefficients.

Step 2:
Add
to simplify the exponents.

Step 3:
to change into Scientific Notation.

Step 4:
is the simplified answer.

Answer 1

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

Step 1: Multiply the coefficients

Multiply the coefficients \( 2.7 \) and \( 3.2 \):

\[ 2.7 \times 3.2 = 8.64 \]

Step 2: Add the exponents

Add the exponents \( 5 \) and \( 7 \):

\[ 5 + 7 = 12 \]

Step 3: Change into Scientific Notation

Now we combine the results:

\[ 8.64 \times 10^{12} \]

Now, we check if \( 8.64 \) is in scientific notation. It is correctly formatted as \( 8.64 \times 10^{12} \) because the coefficient is between 1 and 10.

Step 4: Final Answer

Thus, the simplified answer in scientific notation is:

\[ \boxed{8.64 \times 10^{12}} \]