1 Answer

Samer Ayoub · Answer 1 · 2023-05-24T01:45:17+0000

Answer:

$\begin{gathered} a^4\cdot a=a* a* a* a* a \\ a^4\cdot a=a^5 \end{gathered}$

According to product rule of exponents;

$a^m\cdot a^n=a^(m+n)$

This shows that the exponents are added if the base is the same as the product rule.

Given the expression:

$a^4\cdot a$

The expression written without the exponent is given as:

$\begin{gathered} a^4\cdot a=(a^2)\cdot a^2\cdot a \\ a^4\cdot a=a* a* a* a* a \end{gathered}$

In order to fill in the given blank;

$\begin{gathered} a^4\cdot a=a^(4+1) \\ a^4\cdot a=a^5 \end{gathered}$

Hence the value that goes into the blank space is 5