Problem 150 of 7
Explain the difference between 16^(1/2)=4 and 16^(-2)=1/256.
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distinguish fractional and negative exponents.
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Forms must contrast fractional exponent root meaning with negative exponent reciprocal meaning.
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Solution
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1. Interpret the fractional exponent as a root.
2. Interpret the negative exponent as reciprocal of a positive power.
3. Compare the two meanings directly.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying a^(1/n)=1/a^n.