Final answer:
The given equation |10x| + |3y| = 1 does not involve the Power Rule directly but is a basic algebraic equation where y should be isolated. Using algebraic manipulation, we find y = ±(1 - |10x|)/3. The provided answer choices do not match the correct algebraic transformation.
Step-by-step explanation:
The question involves solving an equation with absolute values to find y in terms of x. We need to rewrite the equation |10x| + |3y| = 1 in a form where we can isolate y. First, we deal with the absolute value of y by subtracting |10x| from both sides of the equation:
|3y| = 1 - |10x|
Next, we divide both sides by 3 to get:
|y| = (1 - |10x|)/3
To remove the absolute value, we take into account both possibilities, y can be positive or negative:
y = ±(1 - |10x|)/3
However, the question seems to be looking for an expression involving y raised to the power of 1, commonly known as the Power Rule. This might be a misunderstanding because the Power Rule is generally a concept used in calculus when differentiating powers of x. In the expression of y provided, y is not raised to any power; it's simply being isolated in an algebraic equation. None of the given options A, B, C, or D represents the correct transformation of the original equation.