To express the given expression [tex]\( 7^\frac{9}{4} \)[/tex] in the form [tex]\(\sqrt[c]{a^b}\)[/tex]:
First, let's identify the components [tex]\(a\)[/tex], [tex]\(b\)[/tex], and [tex]\(c\)[/tex] from the expression [tex]\( 7^\frac{9}{4} \)[/tex].
Here, [tex]\( a = 7 \)[/tex], [tex]\( b = 9 \)[/tex], and [tex]\( c = 4 \)[/tex].
So, the correct values are:
[tex]\[ a = 7 \][/tex]
[tex]\[ b = 9 \][/tex]
[tex]\[ c = 4 \][/tex]