How to Solve Negative Exponents?
The formula used for solving the negative exponent is,
- a-n = 1/an
- 1/a-n = an
We can easily solve the negative exponents by following the steps below,
Step 1: Remove all the negative exponents by using the formula for negative exponent as discussed above.
Step 2: Using basic laws of exponents simplifies the remaining expression.
Step 3: Using exponent formulas write all the values in fraction form.
Step 4: Simplify and write the answer in the simplest form.
Example: Simplify (4-3) × (2-4/12-3)
Solution:
Given expression: (4-3) × (2-4/12-3)
Using the negative exponents formula and removing the negative exponent.
= 1/43 × (123/24)
Using Basic Laws of Exponents
= (1/64)×(1728/16)
Simplifying,
= 108/64
In the simplest form
= 27/16
This is the simplified form of the given expression.
Articles related to Negative Exponents:
Negative Exponents
Negative Exponents are the exponents with negative values. In other words, negative exponents are the reciprocal of the exponent with similar positive values, i.e. a-n (a negative exponent) can be understood as the reciprocal exponent as 1/an.
We can understand the concept of negative exponents by the following example, find the value of (1/2)-2 we can write this exponent as, (2/1)2 this can be further simplified as, 4/1 or 4.
Let us learn more about what are negative exponents, their examples with solutions, practice problems, and others in detail in this article.
Table of Content
- What are Negative Exponents?
- Negative Exponents Definition
- Representation of Negative Exponents
- Negative Exponent Formula
- Expressions with Negative Exponents
- Negative Exponent Rules
- Negative Exponents are Fractions
- Negative Fraction Exponents
- Multiplying Negative Exponents
- How to Solve Negative Exponents?
- Negative Exponents Examples with Solutions
- Negative Exponents Worksheet