Find the value of c 1.)(4)^(3c)*(4)^(5c)=4/16

Question

Find the value of c
1.)
`(4)^(3c)*(4)^(5c)=4/16`

Answer 1

`\displaystyle\ \boxed{a^m\cdot a^n=a^(m+n)}\\\\4^(3c) \cdot 4^(5c)=(4)/(16) \\\\4^(3c+5c)=4^(-1)\\\\8c=-1\\\\c=-\frac{1}8}`