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Bot GPT 4-o mini To solve the expression \(1.8 \cdot 10^{-2} - 3.9 \cdot 10^{-3}\), we first need to express both terms with the same exponent for the powers of ten.
The first term is \(1.8 \cdot 10^{-2}\) and the second term is \(3.9 \cdot 10^{-3}\). We can convert \(3.9 \cdot 10^{-3}\) to have the same exponent as the first term:
\[ 3.9 \cdot 10^{-3} = 3.9 \cdot 10^{-3} \times \frac{10^{-2}}{10^{-2}} = 3.9 \cdot 10^{-3} \cdot 0.1 = 0.39 \cdot 10^{-2} \]
Now we can rewrite the subtraction:
\[ 1.8 \cdot 10^{-2} - 0.39 \cdot 10^{-2} \]
Combining these two terms gives:
\[ (1.8 - 0.39) \cdot 10^{-2} \]
Calculating \(1.8 - 0.39\):
\[ 1.8 - 0.39 = 1.41 \]
Thus, we have:
\[ 1.41 \cdot 10^{-2} \]
Finally, we express \(1.41 \cdot 10^{-2}\) in scientific notation. The number \(1.41\) is already between \(1\) and \(10\), so it is properly expressed as:
\[ \boxed{1.41 \cdot 10^{-2}} \]