Simplify square root of x^14
Problem
Solution
Identify the index of the radical. A square root has an index of
2 Apply the rule for simplifying radicals of powers, which states that
√(n,am)=am/n Divide the exponent of the radicand by the index of the radical:
14÷2=7 Simplify the expression by writing the base with the new exponent. Since the index is even and the resulting exponent is odd, we use absolute value bars to ensure the result is non-negative if
x is a real number.
Final Answer
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