SOLUTION: 25*125^2r = 25^(3r+3) Please show steps and explain

Question 1135965: 25*125^2r = 25^(3r+3) Please show steps and explain
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!

(1) Usually when an exponent in an equation is of the form ax+b, it is going to help if you separate the expression into two parts. In your example, rewrite "25^(3r+3)" as the product of 25^(3r) and 25^3.

(2) The bases for the exponents are 125 and 25, which are both powers of 5. So rewrite the equation using 5 as the base for the exponents.

And now we have a problem. 5^(6r) is a positive number, so we can divide both sides of the equation by it to get

That is clearly false; that means the original equation has no solution.
RELATED QUESTIONS
25*125^2r = 25^3r+3 Please show steps and... (answered by MathLover1,MathTherapy)

solve for x: 25^x+1*125^x=25^3x-2. Please show me the steps (answered by Alan3354)

Can you please explain how to factor this trinomial? r^3+2r^2-15r? I have tried and this... (answered by stanbon)

what is 8/25-7/10-3/5 and please show... (answered by Fombitz)

I really need help with solving 3-step equations can you please tell me the answer to... (answered by jim_thompson5910)

3(3r+r)=2r+4 (answered by satyareddy22)

2r square-5 and 3r (answered by Alan3354)

Factorize Completely 3r^2+10r-8= Please explain the steps. (answered by Alan3354)

1/125=25^-3/2 (answered by Alan3354)