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You learn about algebra negative indices usually in the 8th grade when you are well aware of exponents. Let our tutors guide you about the different operations with it.

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Definition of Algebra Negative Indices:

Negative‌ ‌indices‌ ‌indicate‌ ‌that‌ ‌a‌ ‌number's‌ ‌power‌ ‌is‌ ‌negative.


Top things to learn about algebra negative indices from the online tutor

  • Definition of Negative Indices
  • Expressing negative indices
  • Negative indices without coefficient with base: x^-a,
  • Negative indices having a fraction with the base coefficient: (3/4x)^-n
  • Negative indices with a positive base coefficient: (2x)^-a
  • Negative indices with a negative base coefficient: (-5a)^-m
  • Negative indices with a variable: a×2^-3
  • Write the negative indices expression as a whole number: 1/(5)^-6 = 5^6
  • Write the negative exponent expression as a fraction: (a/b)^-m=(b/a)^m


Algebra Negative Indices Frequently Asked Questions:

Question 1: What happens when the indices are negative?

Negative indices have a negative sign in front of their powers (also known as exponents).

E.g. x^-3, 5^-2 are examples of negative indices.


Question 2: How do negative indices work?


We place the term over 1 and flip it to make the negative index positive, which is known as its reciprocal, then solve the denominator.

x^-3 = 1/(x)^3

5^-2 = 1/(5)^2


Question 3: How do you solve indices with negative exponents?

We flip the base and exponent into the reciprocal form, then solve the denominator. To get the final answer, we divide the numerator by the denominator.


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