Sure! Let's solve the given mathematical expression step-by-step:
Expression to solve:
[tex]\[
(3 \times 10^4) \div 60
\][/tex]
### Step 1: Calculate the Power of 10
First, we need to calculate [tex]\(10^4\)[/tex]:
[tex]\[
10^4 = 10 \times 10 \times 10 \times 10 = 10000
\][/tex]
### Step 2: Multiply by the Base Number
Next, we multiply this result by the base number, which is 3:
[tex]\[
3 \times 10000 = 30000
\][/tex]
### Step 3: Division by 60
Now we need to divide the result from Step 2 by 60:
[tex]\[
30000 \div 60
\][/tex]
### Step 4: Perform the Division
Performing the division gives us:
[tex]\[
30000 \div 60 = 500
\][/tex]
### Final Result
The numerical result of the expression [tex]\((3 \times 10^4) \div 60\)[/tex] is:
[tex]\[
\left(30000, 500 \right)
\][/tex]
Thus, the intermediate result is [tex]\(30000\)[/tex], and the final division result is [tex]\(500\)[/tex].
