Question

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

Answer 1

Answer:

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.

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

The correct answer is 1/5.