Question

Follow the instructions below.Write aa without exponents.+D114a : a = xb\+хFill in the blank.45- a = a

Answer 1

Answer:

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

Explanations:

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:

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

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