Question

approximate the number using a calculator.
$6^{1.4}$
$6^{1.4} \approx \square$ (round to three decimal places.)

Explanation:

Step1: Use calculator for exponentiation

To approximate \(6^{1.4}\), we can use a calculator. Most scientific calculators have a function to calculate exponents. We input the base \(6\) and the exponent \(1.4\).

Step2: Round to three decimal places

After calculating \(6^{1.4}\) using the calculator, we get the value and then round it to three decimal places. Using a calculator, \(6^{1.4}\approx12.120\) (the actual calculation: \(6^{1.4}=6^{\frac{7}{5}}=\sqrt[5]{6^{7}}=\sqrt[5]{279936}\approx12.120\))

Answer:

\(12.120\)