Problem 86 of 7
Evaluate negative rational exponent expression 100^(-3/2).
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use reciprocal and root/power meaning.
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Expression must be defined in the real numbers.
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Solution
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1. Rewrite the negative exponent as a reciprocal.
2. Evaluate the positive rational exponent using roots and powers.
3. Simplify the reciprocal.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Making the result negative because the exponent is negative.