Sure, let's carefully solve the expression step-by-step:
We begin with the expression:
[tex]\[ \frac{5^3}{4} \times \frac{3^3}{5} \][/tex]
### Step 1: Calculate \(5^3\)
First, compute \(5\) raised to the power of \(3\):
[tex]\[ 5^3 = 5 \times 5 \times 5 = 125 \][/tex]
### Step 2: Divide by 4
Next, divide the result from Step 1 by \(4\):
[tex]\[ \frac{125}{4} = 31.25 \][/tex]
### Step 3: Calculate \(3^3\)
Now, compute \(3\) raised to the power of \(3\):
[tex]\[ 3^3 = 3 \times 3 \times 3 = 27 \][/tex]
### Step 4: Divide by 5
Next, divide the result from Step 3 by \(5\):
[tex]\[ \frac{27}{5} = 5.4 \][/tex]
### Step 5: Multiply the results of the two divisions
Finally, multiply the results from Step 2 and Step 4:
[tex]\[ 31.25 \times 5.4 = 168.75 \][/tex]
Thus, the value of the expression \( \frac{5^3}{4} \times \frac{3^3}{5} \) is:
[tex]\[ \boxed{168.75} \][/tex]
