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

Alexandre Roger asked Oct 23, 2022

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22 votes

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

Alexandre Roger asked Oct 23, 2022

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5 votes

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

Verism answered Oct 29, 2022

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