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 \(y^2\).