a$.$ Approximate the given quantity using a Taylor polynomial with $n=3.$

b$.$ Compute the absolute error in the approximation assuming the exact value is given by a calculator.

$\sqrt[4]{23}$

a$.p_3(23)$~~$2\mathrm{.}18994$

$($Do not round until the final answer. Then round to five decimal places as needed.$)$

b$.$ absolute error ~~

$($Use scientific notation. Use the multiplication symbol in the math palette as needed. Do not round until the final answer. Then round to two decimal places as needed.$)$