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:

$k^{12}$