Question

WHY IS THIS GETTING DELETED?? I NEED HELP

5 times 5 to the power of k / 5 to the power of -8 = 5 to the power of 3
what value of k makes the quation true

Provide mathematical justifcation for ur answer.

Answer 1

If this exact question is repeatedly deleted, it's probably because of the ambiguity of the given equation. I see two likely interpretations, for instance:

`((5*5)^k)/(5^(-8)) = 5^3`

or

`(5* 5^k)/(5^(-8)) = 5^3`

If the first one is what you intended, then

`((5*5)^k)/(5^(-8)) = ((5^2)^k)/(5^(-8)) = (5^(2k))/(5^(-8)) = 5^(2k-(-8)) = 5^(2k+8) = 5^3`

and it follows that

2k + 8 = 3 ==> 2k = -5 ==> k = -5/2

If you meant the second one, then

`(5* 5^k)/(5^(-8)) = (5^1*5^k)/(5^(-8)) = (5^(k+1))/(5^(-8)) = 5^(k+1-(-8)) = 5^(k+9) = 5^3`

which would give

k + 9 = 3 ==> k = -6

And for all I know, you might have meant some other alternative... When you can, you should include a picture of your problem.