Evaluate fourth root of 25
Problem
Solution
Rewrite the expression using a fractional exponent to make it easier to manipulate.
Express the base as a power of a smaller prime number, noting that
25=5
Apply the power of a power rule, which states that
(am)n=a(m⋅n)
Simplify the exponent by multiplying the fraction.
Convert the expression back into radical form, noting that a power of
1/2 is equivalent to a square root.
Final Answer
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