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satela [25.4K]
2 years ago
6

Josh examines the expression 5^-x over 5^x, where m is greater than 0.

Mathematics
2 answers:
Soloha48 [4]2 years ago
8 0

Answer:

Josh claim is not correct.

Step-by-step explanation:

Given : Josh examines the expression 5^{-x} over 5^x, where m is greater than 0.

He claims that the expression has a value equal to 1 because it simplifies to 5^0, and any integer to the 0 power is 1.

To find : Is Josh correct? Explain why or why not.

Solution :

We first solve the Josh expression,

5^{-x} over 5^x

i.e. \frac{5^{-x}}{5^x}

We know, \frac{x^a}{x^b}=x^{a-b}

So, \frac{5^{-x}}{5^x}=5^{-x-x}

\frac{5^{-x}}{5^x}=5^{-2x}

His claim is not correct.

As the correct solution is \frac{5^{-x}}{5^x}=5^{-2x}

DochEvi [55]2 years ago
6 0

Answer:

Josh is wrong.

Step-by-step explanation:

5^-x / 5^x  = 5^(-x-x) = 5^-2x

= 1 / 5^2x  

 (you subtract the exponents when dividing )

So Josh is wrong  ( he would be correct if we were multiplying)

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