Evaluate -625^(1/4)

Problem

−625(1/4)

Solution

1. Identify the order of operations. According to the rules of exponents, the power 1/4 applies only to the base 625 not to the negative sign.

2. Rewrite the expression to clarify the operation. The expression is equivalent to −(625(1/4))

3. Calculate the fourth root of 625 Since 5×5×5×5=625 it follows that 625(1/4)=5

4. Apply the negative sign to the result of the exponentiation.

Final Answer

−625(1/4)=−5

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