Q: What is the solution for a power b equals b power a?

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no

It's impossible. Powers are always either positive or complex.

The solution is: x = 1 and y = -1

x = b/(a + c)

a varies directly as b and a = 12 when b = 4. What is the constant of variation?

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it means that A and B have the same power

15-b=7.

Example: 24 = 42

b = -3

The second equation is not complete and there is not sufficient information for a solution. It would make no sense for me to guess what a + b equals since, in that case, I may as well start posting my own questions and answering them!

a= 2, b = 3 (or vice-versa)

Any number to the power '0' equals '1'. Proof ; Let a^(n) = b Then dividing a^(n) / a^(n) = b/b a^(n-n) = b/b a^(0) = 1

B-1 equals 1/B (1 over B).

b = 7 (74 = 2,401)

30

2a2b2+3a2b2-5abc

8 1/3 = ab^-1, 1.8 =ab^2