The number \(0.37\) can be expressed in expanded form using powers of 10 as follows:
\[ 0.37 = 3 \times 10^{-1} + 7 \times 10^{-2} \]
This means:
- \(3 \times 10^{-1}\) represents the digit 3 in the tenths place (which is \(0.3\)).
- \(7 \times 10^{-2}\) represents the digit 7 in the hundredths place (which is \(0.07\)).
Therefore, the expanded form of \(0.37\) with powers of 10 is:
\[ 0.37 = 3 \times 10^{-1} + 7 \times 10^{-2} \]