Using a calculator to evaluate exponential expressions
Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. Do not round any intermediate computations.
\[
\begin{array}{l}
\left(\frac{7}{5}\right)^{2.8}=\square \\
1.25^{-0.2}=\square
\end{array}
\]
Answer
Final Answer: The result of the first expression \(\left(\frac{7}{5}\right)^{2.8}\) is \(\boxed{2.565}\) and the result of the second expression \(1.25^{-0.2}\) is \(\boxed{0.956}\).
Step 1 ：The problem is asking to evaluate two exponential expressions. The first expression is \(\left(\frac{7}{5}\right)^{2.8}\) and the second expression is \(1.25^{-0.2}\).
Step 2 ：To solve this, we can use the power function, which takes two arguments: the base and the exponent, and returns the base raised to the power of the exponent.
Step 3 ：We will use this function to calculate the result of each expression, and then round the result to the nearest thousandth.
Step 4 ：The result of the first expression \(\left(\frac{7}{5}\right)^{2.8}\) is approximately 2.565.
Step 5 ：The result of the second expression \(1.25^{-0.2}\) is approximately 0.956.
Step 6 ：Final Answer: The result of the first expression \(\left(\frac{7}{5}\right)^{2.8}\) is \(\boxed{2.565}\) and the result of the second expression \(1.25^{-0.2}\) is \(\boxed{0.956}\).
