Sure, let's solve the expression step by step.
Firstly, we'll evaluate the numerator of the fraction:
[tex]\[ 5^3 \][/tex]
Calculating [tex]\( 5^3 \)[/tex], we get:
[tex]\[ 5^3 = 125 \][/tex]
Next, we'll evaluate the denominator of the fraction:
[tex]\[ 4^4 \][/tex]
Calculating [tex]\( 4^4 \)[/tex], we get:
[tex]\[ 4^4 = 256 \][/tex]
Now that we have both the numerator and the denominator, we can write the fraction as:
[tex]\[ \frac{125}{256} \][/tex]
To convert this fraction to a decimal, we divide the numerator by the denominator:
[tex]\[ \frac{125}{256} = 0.48828125 \][/tex]
Therefore, the value of the expression [tex]\( \frac{5^3}{4^4} \)[/tex] is:
[tex]\[ \boxed{0.48828125} \][/tex]
