Answer:
[tex] \sf \: a = 7,\: b = 9,\: c = 4[/tex]
Step-by-step explanation:
[tex] {7}^{\frac{9}{4}} [/tex] we have to write in the form [tex] \sf \: {}^{c} \sqrt{ {a}^{b} } [/tex]
[tex] {a}^{ \frac{1}{b} } = {}^{b} \sqrt{a} [/tex]
[tex] {a}^{b} = {a}^{b}[/tex]
from there we can write.
[tex] {7}^{3 \times \frac{1}{4} } = {}^{4} \sqrt{ {7}^{9} } [/tex]
Comparing with [tex] \sf \: {}^{c} \sqrt{ {a}^{b} } [/tex]
c = 4 , b = 9, a = 7
