Compare the following numbers:
`2.7xx10^(10), 1.5xx10^8`

Answer

To compare the numbers \(2.7 \times 10^{10}\) and \(1.5 \times 10^{8}\), we can follow these steps:

### Step 1: Write the numbers in standard form
The numbers are already in scientific notation:
- \(2.7 \times 10^{10}\)
- \(1.5 \times 10^{8}\)

### Step 2: Compare the powers of 10
The first step in comparing these two numbers is to look at the exponents of 10:
- For \(2.7 \times 10^{10}\), the exponent is 10.
- For \(1.5 \times 10^{8}\), the exponent is 8.

Since \(10\) is greater than \(8\), we can conclude that \(2.7 \times 10^{10}\) is larger than \(1.5 \times 10^{8}\) based on the exponent alone.

### Step 3: Compare the coefficients
To be thorough, we can also compare the coefficients of both numbers:
- The coefficient of \(2.7 \times 10^{10}\) is \(2.7\).
- The coefficient of \(1.5 \times 10^{8}\) is \(1.5\).

Since \(2.7 > 1.5\), this further confirms that \(2.7 \times 10^{10}\) is larger.

### Conclusion
Thus, we can conclude that:
\[ 2.7 \times 10^{10} > 1.5 \times 10^{8} \]