Multiplying Negative Exponents
We can easily multiply the negative exponents as we multiply the normal exponent. We can also convert the negative exponent into a fraction and then find its multiple which can be easily solved.
We can understand the multiplication of negative exponents with the help of the example discussed below,
Example: Simplify (1/5)-2 × (3)-3
Solution:
= (1/5)-2 × (3)-3
We first solve the negative exponent by changing it to their reciprocals as,
= (5/1)2 × (1/3)3
Now we will simplify each exponent individually
= 52 × 1/33
= 25 × 1/27
Then, multiplying the fractions we get,
= 25/27
This is the required solution for the given exponent.
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