Question

Simplify this expression and put your answer in Scientific Notation: (5×10^6)×(2×10^−2)(4 points)
Step 1:
the coefficients

Step 2:
the exponents to simplify.

Step 3:
to change the exponent for Scientific Notation

Step 4:
is the final answer.

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Answer 1

Let's simplify the expression \( (5 \times 10^6) \times (2 \times 10^{-2}) \).

### Step 1: Simplify the coefficients
To combine the coefficients, multiply \( 5 \) and \( 2 \):

\[
5 \times 2 = 10
\]

### Step 2: Simplify the exponents
To combine the powers of ten, add the exponents:

\[
10^6 \times 10^{-2} = 10^{6 + (-2)} = 10^{6 - 2} = 10^4
\]

### Step 3: Change the exponent for Scientific Notation
Now we have:

\[
10 \times 10^4
\]

This can be rewritten using the property of exponents \( a \times 10^n = (a \times 10^1) \times 10^{n-1} \):

\[
10 \times 10^4 = 1.0 \times 10^5
\]

### Step 4: Final answer
So, the final answer in Scientific Notation is:

\[
1.0 \times 10^5
\]