Question

Convert each of the following expression. Solve part C only

Answer 1

Given;

`(-36)^{(1)/(2)}`

We would apply indices law where;

`(ab)^c=a^c* b^c`

Thus;

`\begin{gathered} (-36)^{(1)/(2)}=(-1*36)^{(1)/(2)} \\ (-1*36)^{(1)/(2)}=(-1)^{(1)/(2)}*(6^2)^{(1)/(2)} \\ \end{gathered}`

We would apply the power law of indices;

`(a^b)^c=a^(b* c)=a^(bc)`

Then, we have;

`\begin{gathered} (-1*36)^{(1)/(2)}=i*6^{} \\ (-1*36)^{(1)/(2)}=6i \\ (-36)^{(1)/(2)}=6i \\ \text{Where;} \\ i\text{ is a complex number} \end{gathered}`

FINAL ANSWER:

`\text{None}`