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Grade 8 Negative and zero exponents Worksheets

Grade 8 practice: Evaluate powers with a zero exponent or a negative exponent. Choose a level below to generate a fresh set of questions.

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Understanding negative and zero exponents

Negative and zero exponents ask learners in Grade 8 to evaluate powers whose exponent is zero or negative. Any non-zero base raised to the power 0 equals 1, and a negative exponent means the reciprocal of the positive power: b to the −n equals 1 over b to the n. These rules extend the pattern of exponents consistently below the first power.

For example, 7⁰ = 1, and 2⁻³ = 1 / 2³ = 1/8. A common mistake is thinking a zero exponent gives 0, or that a negative exponent makes the answer negative — it makes a fraction, not a negative number. Tip: read a zero exponent as “always 1” (for any non-zero base), and read a negative exponent as a signal to flip the base into a fraction and make the exponent positive before evaluating.

Sample negative and zero exponents questions

These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.

Evaluate, writing your answer as a fraction: 4⁻¹ =
Evaluate: 5⁰ =
Evaluate, writing your answer as a fraction: 3⁻¹ =
Evaluate: 2⁰ =

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Practice focus

Evaluate powers with a zero exponent or a negative exponent. Show your working so each step is clear.

Grade 8 Negative and zero exponents Worksheets

Understanding negative and zero exponents

Sample negative and zero exponents questions

Practice focus

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