Question

Simplify this expression and put your final answer in Scientific Notation: 2.7×1053.2×107
(4 points)
Step 1:
the coefficients.

Step 2:
to simplify the exponents.

Step 3:
to change into Scientific Notation.

Step 4:
is the simplified answer.

Answer 1

are you sure

Answer 2

Let's simplify the expression \(2.7 \times 10^{5} \times 3.2 \times 10^{7}\) step by step.

### Step 1: Multiply the coefficients.
The coefficients are \(2.7\) and \(3.2\).

\[
2.7 \times 3.2 = 8.64
\]

### Step 2: Simplify the exponents.
The exponents are \(10^{5}\) and \(10^{7}\). When multiplying with the same base, we add the exponents.

\[
10^{5} \times 10^{7} = 10^{(5 + 7)} = 10^{12}
\]

### Step 3: Change into Scientific Notation.
Now we can combine the results from Steps 1 and 2:

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

However, the number \(8.64\) does not fit the standard form of scientific notation, which requires the coefficient to be between \(1\) and \(10\). We can convert it:

\[
8.64 = 8.64 \times 10^{0} = 0.864 \times 10^{1}
\]

Now we adjust the notation accordingly:

\[
(0.864 \times 10^{1}) \times 10^{12} = 0.864 \times 10^{13}
\]

### Step 4: Final Answer
The simplified expression in scientific notation is:

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