PrerequisitesPrerequisite

Negative indices

Negative indices.

  • Use .
  • A negative exponent means take a reciprocal. It does not make the value negative.
  • Write the answer using positive exponents; the base must be non-zero.

Example 1

Apply the rule

Simplify the expression.

Example 2

Fully simplify the expression. Assume .

Your turn

5 practice questions
Question 1

Simplify using positive exponents. Assume any denominator is non-zero.

Check answer
Question 2

Simplify using positive exponents. Assume any denominator is non-zero.

Check answer
Question 3

Simplify using positive exponents. Assume any denominator is non-zero.

Check answer
Question 4

Simplify using positive exponents. Assume any denominator is non-zero.

Check answer
Question 5

Simplify using positive exponents. Assume any denominator is non-zero.

Check answer
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