Question

Simplify the expression below. If you need to type an exponent then use the carrot key ^ (press shift and the 6 keys). For example, 5 squared can be typed as 5^2. \sqrt[5]{1024c^{10}} this simplifies to Answer

Answer 1

The expression can be simplified thus:

First we will write out the expression:

$\sqrt[5]{1024c^{10}}$

This will be expressed thus:

$\begin{gathered} (1024c^{10})^{\frac{1}{5}} \\ =1024^{\frac{1}{5}}\times c^{10\times\frac{1}{5}} \\ =4\times c^2 \\ =4c^2 \end{gathered}$

The final expression is 4c^2.