MeelaZ322729 MeelaZ322729
  • 29-10-2022
  • Mathematics
contestada

If 10^(2y) = 25, then 10^(y) equals:a. -1/5b. 1/625c. 1/50d. 1/25e. 1/5

If 102y 25 then 10y equalsa 15b 1625c 150d 125e 15 class=

Respuesta :

KalmanB711146 KalmanB711146
  • 29-10-2022

Answer:

1/5

Explanation:

Given the equation:

[tex]10^{2y}=25[/tex]

The given equation can be written as:

[tex]\begin{gathered} (10^y)^2=5^2 \\ \implies10^y=5 \end{gathered}[/tex]

Raise both sides of the equation to an index of -1.

[tex]\begin{gathered} (10^y)^{-1}=5^{-1} \\ \implies10^{-y}=\frac{1}{5} \end{gathered}[/tex]

The correct answer is 1/5.

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