Simplify and express the result in power notation with positive exponent.
`(-3)^(4) xx ((5)/(3))^4`

Answer

To simplify the expression \((-3)^{4} \times \left(\frac{5}{3}\right)^{4}\) and express the result in power notation with a positive exponent, follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ (-3)^{4} \times \left(\frac{5}{3}\right)^{4} \]

### Step 2: Apply the power of a quotient property
Using the property of exponents that states \(\left(\frac{a}{b}\right)^{m} = \frac{a^{m}}{b^{m}}\), we can rewrite the second term:
\[ (-3)^{4} \times \left(\frac{5^{4}}{3^{4}}\right) \]

### Step 3: Combine the terms
Now we can combine the terms:
\[ (-3)^{4} \times \frac{5^{4}}{3^{4}} = \frac{(-3)^{4} \times 5^{4}}{3^{4}} \]

### Step 4: Rewrite \((-3)^{4}\)
Since \((-3)^{4} = (-1)^{4} \times 3^{4}\) and \((-1)^{4} = 1\), we can simplify:
\[ (-3)^{4} = 1 \times 3^{4} = 3^{4} \]

### Step 5: Substitute back into the expression
Now substitute back into our expression:
\[ \frac{3^{4} \times 5^{4}}{3^{4}} \]

### Step 6: Cancel out \(3^{4}\)
The \(3^{4}\) in the numerator and denominator cancels out:
\[ \frac{3^{4} \times 5^{4}}{3^{4}} = 5^{4} \]

### Final Result
Thus, the simplified expression is:
\[ 5^{4} \]