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# simple question i am overthinking once again

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general question: how do i even write equivalent expressions to like a given expression?

the question for example asks for an equivalent expression if you are given 5^4x-3

(sorry i did not know how to write that in latex)

i have tried this question over 5 times and i still dont understand how it can be solved:

can someone please give me some hints, i don't want it to be solved i want to figure it out myself but i really don't know where to start.

thank you :3

Jan 20, 2020

#1
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There are LOTS of ways to write  equaivalent expressions.....is this   54x-3      ?

=   54x / 53

= 54x /125      are a couple equivalent expressions

Jan 20, 2020
#2
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would it be right if i divided up the powers and broke them down?

btw thank you ep!!

Nirvana  Jan 24, 2020
#3
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Thanks EP

Firstly the expression you have written is not clear.

5^4x-3

EP has interpretted this to mean   $$5^{4x-3}$$

Is this what you intended?  If so it should have been written as  5^(4x-3)

$$5^{4x-3}\\ =5^{4x}*5^{-3}\\ =(5^4)^x*\frac{1}{5^3}\\ =\frac{625^x}{125}$$

this is just another answer that is equivalent.

Jan 24, 2020