Answer:
[tex]r=-3/5=-0.6[/tex]
Step-by-step explanation:
We have the equation:
[tex]6^{-3r}=6^{2r+3}[/tex]
Since their bases are the same, the exponents must be equivalent. So:
[tex]-3r=2r+3[/tex]
Solve for r, subtract 2r from both sides:
[tex]-5r=3[/tex]
Divide both sides by -5:
[tex]r=-3/5=-0.6[/tex]
So, the value of r is -3/5.
And we're done!
