Solve : `(3.2 xx10^4)div (2xx 10^5)`

Options

A. `16/10^2`
B. `0.016`
C. `1.6`
D. `1.06`

Answer

To solve the expression \((3.2 \times 10^4) \div (2 \times 10^5)\), we can follow these steps:

### Step 1: Write the expression clearly
We start with the expression:
\[ \frac{3.2 \times 10^4}{2 \times 10^5} \]

### Step 2: Divide the coefficients
Next, we divide the numerical coefficients (3.2 and 2):
\[ \frac{3.2}{2} = 1.6 \]

### Step 3: Apply the properties of exponents
Now, we handle the powers of ten. According to the rules of exponents, when we divide powers with the same base, we subtract the exponents:
\[ 10^4 \div 10^5 = 10^{4-5} = 10^{-1} \]

### Step 4: Combine the results
Now we can combine the results from Step 2 and Step 3:
\[ 1.6 \times 10^{-1} \]

### Step 5: Write the final answer
The final answer can be expressed as:
\[ 1.6 \times 10^{-1} = 0.16 \]

Thus, the solution to the expression \((3.2 \times 10^4) \div (2 \times 10^5)\) is:
\[ 0.16 \]

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