Answer:
a = -4.
Step-by-step explanation:
25(√5)^a * (√5) ^3 = 5√5
25*5^a/2 * 5^3/2 = 5*5^1/2
25*5^a/2 = 5*5^1/2 / 5^3/2
25*5^a/2 = 5^1 *5^1/2 / 5^3/2
25*5^a/2 = 5^3/2 / 5^3/2 = 1
5^a/2 = 1/25 = 5^-2
The bases are equal, so
a/2 = -2
a = -4.
Answer:
289
Step-by-step explanation:
We don't need
at all for this.
We will need to know
before continuing...
can be found by replacing
in
with
:



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Now let's find
:
![[f(4)]^2](https://tex.z-dn.net/?f=%5Bf%284%29%5D%5E2)
![[17]^2](https://tex.z-dn.net/?f=%5B17%5D%5E2)


55 - 3 = 52
52 - 3 = 49
49 - 3 = 46
46 - 3 = 43
43 is your answer