help please!!! ill mark brainliest!!

[tex]2 {}^{c} = \frac{2 {}^{5} .2 {}^{3} {}^{ \times 4} }{2 {}^{4} } [/tex]
[tex]2 {}^{c} = \frac{2 {}^{5 + 12} }{2 {}^{4} } = \frac{2 {}^{17} }{2 {}^{4} } = 2 {}^{13} [/tex]
[tex]c = 13[/tex]
[tex] \frac{2 {}^{5} \times 2 {}^{2a} }{2 {}^{4} } = 2 {}^{13} [/tex]
[tex]2 {}^{5 + 2a - 4} = 2 {}^{13} [/tex]
[tex]2a - 1 = 13[/tex]
[tex]2a = 14[/tex]
[tex]a = 7[/tex]
[tex]b + 5 - 4 = 13[/tex]
[tex]b + 1 = 13[/tex]
[tex]b = 13 - 1[/tex]
[tex]b = 12[/tex]