Question

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

Answer 1

1/5

Explanation:

Given the equation:

`10^(2y)=25`

The given equation can be written as:

`\begin{gathered} (10^y)^2=5^2 \\ \implies10^y=5 \end{gathered}`

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

`\begin{gathered} (10^y)^(-1)=5^(-1) \\ \implies10^(-y)=(1)/(5) \end{gathered}`

The correct answer is 1/5.