Find the value of `4.09xx 10^(7)+2800000+3.2xx 10^(6)+980000` and express in standard form.

Answer

To solve the expression \(4.09 \times 10^{7} + 2800000 + 3.2 \times 10^{6} + 980000\) and express it in standard form, we can follow these steps:

### Step 1: Convert all numbers to standard form
We need to express \(2800000\) and \(980000\) in standard form.

- \(2800000 = 2.8 \times 10^{6}\)
- \(980000 = 9.8 \times 10^{5}\)

Now, we can rewrite the expression as:
\[ 4.09 \times 10^{7} + 2.8 \times 10^{6} + 3.2 \times 10^{6} + 9.8 \times 10^{5} \]

### Step 2: Identify the least power of 10
The least power of 10 in the expression is \(10^{5}\). We will factor \(10^{5}\) out of the expression.

### Step 3: Rewrite the expression
Now we rewrite the expression by factoring out \(10^{5}\):
\[ = 10^{5} \left(4.09 \times 10^{2} + 2.8 \times 10^{1} + 3.2 \times 10^{1} + 9.8\right) \]

### Step 4: Calculate the values inside the parentheses
Now we calculate each term:
- \(4.09 \times 10^{2} = 409\)
- \(2.8 \times 10^{1} = 28\)
- \(3.2 \times 10^{1} = 32\)
- \(9.8 = 9.8\)

Now, we can sum these values:
\[ 409 + 28 + 32 + 9.8 = 478.8 \]

### Step 5: Combine the results
Now we substitute back into the expression:
\[ = 10^{5} \times 478.8 \]

### Step 6: Convert to standard form
To express \(478.8\) in standard form, we need to write it as \(4.788 \times 10^{2}\) (since we move the decimal point two places to the left).

Thus, we have:
\[ = 4.788 \times 10^{2} \times 10^{5} \]

### Step 7: Combine the powers of 10
Now, we can combine the powers of 10:
\[ = 4.788 \times 10^{7} \]

### Final Answer
The final answer in standard form is:
\[ \boxed{4.788 \times 10^{7}} \]