Find the value of the
`(5^(4)xx7^(5))/(5^(2)xx7^(4))`

Answer

To solve the expression \((5^{4} \times 7^{5})/(5^{2} \times 7^{4})\), we can follow these steps:

### Step 1: Write the expression
We start with the expression:
\[ \frac{5^{4} \times 7^{5}}{5^{2} \times 7^{4}} \]

### Step 2: Apply the laws of exponents
Using the property of exponents that states \(\frac{a^{m}}{a^{n}} = a^{m-n}\), we can simplify the expression:
\[ = 5^{4-2} \times 7^{5-4} \]

### Step 3: Simplify the exponents
Now, we simplify the exponents:
\[ = 5^{2} \times 7^{1} \]

### Step 4: Calculate the values
Next, we calculate the values:
\[ 5^{2} = 25 \quad \text{and} \quad 7^{1} = 7 \]
Thus, we have:
\[ = 25 \times 7 \]

### Step 5: Multiply the results
Finally, we multiply the two results:
\[ 25 \times 7 = 175 \]

### Final Answer
The value of the expression \((5^{4} \times 7^{5})/(5^{2} \times 7^{4})\) is:
\[ \boxed{175} \]

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