Question

Expand the expression so there are no exponents, then rewrite those expansions in their

most simplified form, using an exponent, if needed. Write the variables side by side, do not
write multiplication symbols, do not put any spaces.
joks m³

Answer 1

When we expand the expression and then rewrite them in their most simplified form, the result obtained is jm

How to expand the expression and rewrite in simplified form?

The expression,
`(j^5k^6m^3)/(j^4k^5m^3)` can be expanded and rewritten in the simplified formed as illustrated below:

• Expression obtained from the question include:
  `(j^5k^6m^3)/(j^4k^5m^3)`
• Expansion in simplified form =?

`(j^5k^6m^3)/(j^4k^5m^3)\\\\Recall:\\\\(A^m)/(A^n) = A^(m-n)\\\\Thus,\ we\ have\ \\\\(j^5k^6m^3)/(j^4k^5m^3) = j^(5-4)\ \cdot\ k^(6-5)\ \cdot\ m^(3-3)\\\\(j^5k^6m^3)/(j^4k^5m^3) = j^1\ \cdot\ k^1 \cdot\ m^(0)\\\\Recall:\\\\A^1 = A\\\\A^0 = 1\\\\Thus,\\\\j^1\ \cdot\ k^1 \cdot\ m^0 = jm\\\\Therefore,\\\\(j^5k^6m^3)/(j^4k^5m^3) = jm`

From the above evaluation, we can conclude that the expansion of the given expression in the most simplified form is jm

Complete question:

Expand the expression so there are no exponents, then rewrite those expansions in their most simplified form, using an exponent, if needed. Write the variables side by side, do not write multiplication symbols, do not put any spaces. (j^(5)k^(6)m^(3))/(j^(4)k^(5)m^(3))