Question

Help plssss idk what to do!!!!!!!!!

Answer 1

9514 1404 393

Answer:

y = 1

Explanation:

Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

(a^b)/(a^c) = a^(b-c)

(a^b)(a^c) = a^(b+c)

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Your equation can be written as ...

`25^4/5^(5y)=125^y\\\\(5^2)^4/5^(5y)=(5^3)^y\\\\5^(8-5y)=5^(3y)\\\\8-5y=3y\qquad\text{equate exponents of the same base}`

Now this can be solved as an ordinary linear equation.

8 = 8y . . . . . . add 5y to both sides

1 = y . . . . . . . divide by 8

The solution is y = 1.