SOLUTION: I tried, actually I have no idea how to solve this problem. Please help me solve this problem: EXPONENTS: Simplify. #23. {{{5^(3n+6)=(5^(2n))(5^(4n-6))}}} Please and Than

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Question 88345: I tried, actually I have no idea how to solve this problem. Please help me solve this problem:
EXPONENTS:
Simplify.
#23.
Please and Thank you!!!!

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve for n:
On the right side side, apply the rule of exponents:
Simplify.
Apply the rule: If then: for any positive a not = 1
Subtract 3n from both sides.
Add 6 to both sides.
Divide both sides by 3.

Check by substituting n = 4 into the original equation.
Simplify.


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