Question

simplify the following expressions.
a) \\(\sqrt5{\frac{m^{16}}{m}}\\)

Explanation:

Step1: Simplify exponent inside root

$\frac{m^{16}}{m} = m^{16-1} = m^{15}$

Step2: Apply 5th root to simplified term

$\sqrt[5]{m^{15}} = m^{\frac{15}{5}}$

Step3: Simplify the rational exponent

$m^{\frac{15}{5}} = m^3$

Answer:

$m^3$