Question

125x^7y^5/25x^8 y^7

Answer 1

To simplify the expression \(\frac{125x^7y^5}{25x^8y^7}\), we can start by simplifying the numerical coefficients and then work through the variables.

1. **Numerical Coefficients:**
\[
\frac{125}{25} = 5
\]

2. **Variables:**
- For \(x\):
\[
\frac{x^7}{x^8} = x^{7-8} = x^{-1} = \frac{1}{x}
\]
- For \(y\):
\[
\frac{y^5}{y^7} = y^{5-7} = y^{-2} = \frac{1}{y^2}
\]

3. **Combining everything:**
Putting it together, we have:
\[
5 \cdot \frac{1}{x} \cdot \frac{1}{y^2} = \frac{5}{xy^2}
\]

Thus, the simplified form of \(\frac{125x^7y^5}{25x^8y^7}\) is:
\[
\frac{5}{xy^2}
\]

Answer 2

Could u use less symbols I can't understand it

Answer 3

Sure! Let's simplify the expression step by step without using too many symbols.

We start with the expression:

**125 times \(x^7\) times \(y^5\) divided by 25 times \(x^8\) times \(y^7\)**.

### Step 1: Simplify the Numbers
- First, simplify the numbers:
125 divided by 25 equals **5**.

### Step 2: Simplify the \(x\) Terms
- We have \(x^7\) divided by \(x^8\).
When we divide, we subtract the exponents:
\(7 - 8\) equals \(-1\).
This means we have **1 over \(x\)** (which can be written as \(\frac{1}{x}\)).

### Step 3: Simplify the \(y\) Terms
- Now, look at \(y^5\) divided by \(y^7\).
Again, we subtract the exponents:
\(5 - 7\) equals \(-2\).
This means we have **1 over \(y^2\)** (or \(\frac{1}{y^2}\)).

### Final Step: Putting It All Together
Now, let's put everything together:
We have **5**, then **1 over \(x\)**, and finally **1 over \(y^2\)**.

So we write:

**The final answer is:**
\(\frac{5}{xy^2}\)

This means 5 divided by \(x\) and also divided by \(y^2\).