Q20. - Algebra 2

Question

Simplify  ${\left(n^4\right)}^4$ assuming that no variable equal to 0 .

Step-by-Step Solution

Answer

The simplified value of expression is $n^{16}$ .

Step 1. Write down the given expression.

The given expressiomn to simplify is ${\left(n^4\right)}^4$ .

Step 2. Simplify the given expression.

Simplifying ${\left(n^4\right)}^4$  gives,

$\begin{array}{c}{\left(n^4\right)}^4={\left(n\right)}^{4\times 4}\mathrm{....}(\text{Using }{\left(x^a\right)}^b=x^{ab})\\ ={\left(n\right)}^{16}\\ =n^{16}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $n^{16}$ .