For this case we have the following expression:
![27 * a * a * a](https://img.qammunity.org/2019/formulas/mathematics/middle-school/vsd4hf77f257t5f6fkox12p0v15kx30ck7.png)
By definition, by ownership of the power:
In the multiplication, if we have the same base the exponents are added, for example:
![A (x * x * x) = Ax^((1 + 1 + 1))= Ax ^ 3](https://img.qammunity.org/2019/formulas/mathematics/middle-school/4comymm33d7wbkmqewfuk3ewvx81mtbhx1.png)
Rewriting the given expression we have:
![(3 * 3 * 3) (a * a * a) =](https://img.qammunity.org/2019/formulas/mathematics/middle-school/e7c64w7dzsq203ujb77m6fc3cptsdmxmyj.png)
![(3^ {(1 + 1 + 1)})*(a^ {(1 + 1 + 1)}) =](https://img.qammunity.org/2019/formulas/mathematics/middle-school/wb1zbiche301ibkddqndlytekstzi6bc7r.png)
![3 ^ 3 * a ^ 3 =](https://img.qammunity.org/2019/formulas/mathematics/middle-school/vu61mdkqfg93pwwcvdfh054ynhet2eq7lu.png)
![(3a) ^ 3](https://img.qammunity.org/2019/formulas/mathematics/middle-school/5w9hzpfp3yufmf85dbgi8yrei8ds6chdfy.png)
Answer:
Rewriting the given expression we have:
![(3a) ^ 3](https://img.qammunity.org/2019/formulas/mathematics/middle-school/5w9hzpfp3yufmf85dbgi8yrei8ds6chdfy.png)