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.