Evaluate 49^(-1/2)

Problem

49(−1/2)

Solution

1. Apply the negative exponent rule, which states that a(−n)=1/(an)

1/(49(1/2))

2. Rewrite the fractional exponent as a radical using the rule a(1/n)=√(n,a)

1/√(,49)

3. Evaluate the square root of 49.

1/7

Final Answer

49(−1/2)=1/7

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