Question

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

Answer 1

`\begin{gathered} a^4\cdot a=a* a* a* a* 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* 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