# Simplify the Expression: (2x^n/y^n)***(y/2x)**^2

**Question**

Simplify (2x^n/y^n)*(y/2x)^2

**Answer**

**STEP 1: **Observe the given expression:

If you observe the expression, then you notice that it contains a term in which a quotient is raised to a power. The first step in simplifying the expression will obviously be to simplify that term.

The exponent law which can be helpful for this purpose is:

The law simply means to bring the power into each term of the quotient. See what happens when we apply this law.

**STEP 2: **The simplification of the term isn’t over yet. The denominator (2x)

^{2} can be rewritten

using the law:

* (ab)*^{n} = a^{n}b^{n}Keep in mind that to raise a term to the second power means to multiply it by itself two times.

**STEP 3: **What we want to do here is to write as a product of quotients such that all expressions with like bases are brought together.

Since 4 goes evenly into 2, you cancel these numbers.

**STEP 4: **Now, the operation left is to

divide powers with like bases. When you divide, the exponents subtract.

The final simplified expression that you get is: