Q6. - Algebra 2

Question

Simplify ${\left(n^3\right)}^3{\left(n^{-3}\right)}^3$assuming that no variable equal to 0 . 

Step-by-Step Solution

Answer

The simplified value of expression is 1.

Step 1. Write down the given expression.

The given expression to simplify is  ${\left(n^3\right)}^3{\left(n^{-3}\right)}^3$.

Step 2. Simplify the given expression.

Simplifying  ${\left(n^3\right)}^3{\left(n^{-3}\right)}^3$ gives,

$\begin{array}{c}{\left(n^3\right)}^3{\left(n^{-3}\right)}^3={\left(n\right)}^{3\times 3}\cdot {\left(n\right)}^{-3\times 3}\mathrm{....}(\text{Using }{\left(x^m\right)}^n=x^{mn})\\ ={\left(n\right)}^9\cdot {\left(n\right)}^{-9}\\ ={\left(n\right)}^{9-9}\\ =n^0\\ =1\end{array}$

Step 3. Conclusion.

The simplified value of expression is 1 .