Evaluate : `3^(5)-:2^(5)`

Answer

To evaluate \( \frac{3^5}{2^5} \), we can follow these steps:

### Step 1: Apply the exponent rule
Using the exponent rule \( \frac{a^x}{b^x} = \left(\frac{a}{b}\right)^x \), we can rewrite the expression:
\[ \frac{3^5}{2^5} = \left(\frac{3}{2}\right)^5 \]

### Step 2: Calculate \( \frac{3}{2} \)
Now, we need to calculate \( \frac{3}{2} \):
\[ \frac{3}{2} = 1.5 \]

### Step 3: Raise \( 1.5 \) to the power of 5
Next, we calculate \( (1.5)^5 \):
\[ (1.5)^5 = 1.5 \times 1.5 \times 1.5 \times 1.5 \times 1.5 \]

Calculating step by step:
- \( 1.5 \times 1.5 = 2.25 \)
- \( 2.25 \times 1.5 = 3.375 \)
- \( 3.375 \times 1.5 = 5.0625 \)
- \( 5.0625 \times 1.5 = 7.59375 \)

Thus, \( (1.5)^5 = 7.59375 \).

### Final Answer
Therefore, the value of \( \frac{3^5}{2^5} \) is:
\[ \frac{3^5}{2^5} = 7.59375 \]

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