Question

Convert the 196 upon 321 into power notation.

Answer 1

The solution is:

196  ⋅  321=6.2916⋅104

Explanation

Step 1. Write entered numbers into the scientific notation. (see SN Converter for detailed explanation)

196=1.96⋅102

321=3.21⋅102

Step 2. Multiply numeric parts:

1.96⋅3.21=6.2916

Step 3. Multiply 102 by 102:

102⋅102=102+2=104

Step 4. Write the answer as the product of the numbers obtained in steps 2 and 3:

6.2916⋅104

OR

The solution is:

196321=0.610591900

Explanation

Keep in mind! Final result need to have 10 significant digits, so we need to keep at least 11 significant digits in intermediate results.

Step 1. Write entered numbers into the scientific notation. (see SN Converter for detailed explanation)

196=1.96⋅102

321=3.21⋅102

Step 2. Divide numeric parts: ( note that in intermediate calculations we use only 11 significant digits)

1.963.21≈0.6105919003

Step 3. Divide 102 by 102:

102102=102−2=100

Step 4. Write the answer as the product of the numbers obtained in steps 2 and 3:

0.6105919003⋅100

Step 5. We can see that previous reuslt has 11 digits, so we will round 0.6105919003 to 10 digits to get the correct answer.

0.610591900⋅100