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A fractional exponent connects roots and powers - Online practice 1
Read the information, then answer the questions. An adult may read the instructions aloud. Show your working where asked.
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Positive base a=8. Interpret a^(2/3) as the square of the positive cube root. A negative exponent gives a reciprocal. Keep answers exact and keep the positive-base domain; dividing the base by the denominator is not taking a root.
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- Evaluate 8^(2/3) using a root then a power.
- Evaluate 8^(-1/3), explaining the negative sign in the exponent.
- Does 8^(1/3) mean 8/3? Give a check.
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