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Answer:
11^3/5
Step-by-step explanation:
Fractional exponents work like so:
[tex]x^{\frac{a}{b}} = \sqrt[b]{x^a}[/tex]
Essentially, the numerator (a) of the fraction is the power and the denominator (b) of the fraction is the root.
[tex]x^\frac{power}{root}[/tex]
We are given:
[tex]\sqrt[5]{11^3}[/tex]
The power is 3 and the root is 5. Let's substitute the values in.
[tex]x^\frac{power}{root}[/tex]
[tex]power=3\\root=5[/tex]
[tex]x^\frac{3}{5}[/tex]
x is the base. In this case, the base is 11.
[tex]11^\frac{3}{5}[/tex]
Therefore, 11^3/5 is the correct answer.