Math  /  Algebra

QuestionIf 41/2=2,81/3=24^{1 / 2}=2,8^{1 / 3}=2, and 161/4=216^{1 / 4}=2, then for what value of xx would x1/5=2?x^{1 / 5}=2 ? 32 2 24 4

Studdy Solution
Simplify the equation: - The left side simplifies to x x because (x1/5)5=x(1/5)×5=x1=x (x^{1/5})^5 = x^{(1/5) \times 5} = x^1 = x . - Calculate the right side: 25=32 2^5 = 32 .
x=32 x = 32
The value of x x is:
32 \boxed{32}

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