Question

Simplify$a^2\cdot a^6$ assuming that no variable equal to0.

Short answer

The simplified value of expression is $a^8$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression to simplify is $a^2.a^6$.

Step 2. Simplify the given expression.

Simplifying $a^2.a^6$ gives,

$\begin{array}{c}{a}^2.a^6={\left(a\right)}^2{\left(a\right)}^6\\ ={\left(a\right)}^{2+6}\\ =a^8\end{array}$

Step 3. Conclusion.

The simplified value of expression is $a^8$.