Answer: Option 3.
Option 4.
![(\sqrt[c]{a} )^b](https://img.qammunity.org/2021/formulas/mathematics/college/m1ep7te25vp2ylkdejdf5ldsqksdp2czzu.png)
Explanation:
concept to know: when the exponent is a fraction, the numerator will be the real exponent with the base (i.e 7^5), while the denominator will be the root
----------------------------------
![a^{(b)/(c)](https://img.qammunity.org/2021/formulas/mathematics/college/nveomzbpci22zmwi7x3jiyl85g2ducth1e.png)
b is the numerator which means it will result in
![a^b](https://img.qammunity.org/2021/formulas/mathematics/high-school/see40uq2ia98epjth2vvakw32i1r516z6d.png)
c is the denominator which means it will result in
![\sqrt[c]{a}](https://img.qammunity.org/2021/formulas/mathematics/college/5ayk3pvob98zlggr5puswlp9j76rx0bofg.png)
The combination of this two will be
![\sqrt[c]{a^b}](https://img.qammunity.org/2021/formulas/mathematics/college/esno8rrsnh0b1a0gg655mmfpkns28g749m.png)
This will also be presented as
![(\sqrt[c]{a} )^b](https://img.qammunity.org/2021/formulas/mathematics/college/m1ep7te25vp2ylkdejdf5ldsqksdp2czzu.png)
Hope this helps!! :)
Please let me know if you have any question