Question

Simplify (k^5)^2 k^2 Write your answer with only positive exponents.

Answer 1

To simplify this expression, we will need to use two properties:

`\begin{gathered} b^a\cdot b^c=b^(a+c) \\ (b^a)^c=b^(ac) \end{gathered}`

Applying the second property first, we have:

`(k^5)^2k^2=k^(5\cdot2)k^2=k^(10)k^2`

Applying the first property now, we have:

`k^(10)k^2=k^(10+2)=k^(12)`

So, the simpification is:

`k^(12)`