Use a calculator to evaluate the following exponential expression. Round to two decimal places.
${13}^{\pi }$

• A. $3159.05$
• B. $3001.89$
• C. $3204.76$
• D. $3107.42$

Answer: (A)

Verified step by step guidance

1. Identify the exponential function you need to evaluate. An exponential function generally has the form \(f(x) = a^{x}\), where \(a\) is the base and \(x\) is the exponent.
2. Substitute the given value of \(x\) into the function. For example, if the function is \(f(x) = 3^{x}\) and you need to evaluate at \(x = 4\), replace \(x\) with 4 to get \(f(4) = 3^{4}\).
3. Apply the exponent by multiplying the base by itself as many times as indicated by the exponent. For \$3^{4}\(, this means \)3 \times 3 \times 3 \times 3$.
4. Calculate the product from the previous step to find the value of the function at the given \(x\).
5. If the problem involves negative or fractional exponents, recall that \(a^{-n} = \frac{1}{a^{n}}\) and \(a^{\frac{m}{n}} = \sqrt[n]{a^{m}}\), and apply these rules accordingly before evaluating.