Introduction to working with negative exponents:
Negative exponents are one of the basis of mathematics in the exponents function. The power terms are also called as the negative exponents. If any of the function is having the negative power means, then we have to write that function in the fraction format. For example, x-1 is said to be negative exponents. Then this function can also be written as `1/x` .
Rules for Working with Negative Exponents
There are number of rules are followed for working with negative exponents. They are given as,
In the multiplication function of two numbers are having the exponents terms means, then we have to add the power given in the multiplicative functions. The rule is given below the following,
Example: (x2) (x4), then we have to write this as (x2+4).
If the function having one power over the other power terms means, then we can also write this by using the multiplication function. The rule is given below the following,
Example: (x2 )3, then we have to write this as ( x2*3).
In the division format if the exponent function is given means, then we can write this for both the numerator function and the denominator function. The rule is given below the following,
Example: `(x/y)^2` , this can also be written as .`(x^2)/(y^2)`
Example Problem for Working with Negative Exponents
Problem 1: Work the given problem of negative exponents, -35.
Solution:
- 35 = (- 3) `xx` (- 3) `xx` (- 3) `xx` (- 3) `xx` (- 3)
= - 243
This is the required solution of working with negative exponents function.
Problem 2: Work the given problem of negative exponents, -46.
Solution:
- 46 = (- 4) `xx` (- 4) `xx` (- 4) `xx` (- 4) `xx` (- 4) `xx` (- 4)
= - 4096
This is the required solution of working with negative exponents function.
Practice Problem for Working with Negative Exponents
Problem 1: Work the given problem of negative exponents, -24.
Answer: - 16
Problem 2: Work the given problem of negative exponents, -53.
Answer: - 125
Negative exponents are one of the basis of mathematics in the exponents function. The power terms are also called as the negative exponents. If any of the function is having the negative power means, then we have to write that function in the fraction format. For example, x-1 is said to be negative exponents. Then this function can also be written as `1/x` .
Rules for Working with Negative Exponents
There are number of rules are followed for working with negative exponents. They are given as,
In the multiplication function of two numbers are having the exponents terms means, then we have to add the power given in the multiplicative functions. The rule is given below the following,
Example: (x2) (x4), then we have to write this as (x2+4).
If the function having one power over the other power terms means, then we can also write this by using the multiplication function. The rule is given below the following,
Example: (x2 )3, then we have to write this as ( x2*3).
In the division format if the exponent function is given means, then we can write this for both the numerator function and the denominator function. The rule is given below the following,
Example: `(x/y)^2` , this can also be written as .`(x^2)/(y^2)`
Example Problem for Working with Negative Exponents
Problem 1: Work the given problem of negative exponents, -35.
Solution:
- 35 = (- 3) `xx` (- 3) `xx` (- 3) `xx` (- 3) `xx` (- 3)
= - 243
This is the required solution of working with negative exponents function.
Problem 2: Work the given problem of negative exponents, -46.
Solution:
- 46 = (- 4) `xx` (- 4) `xx` (- 4) `xx` (- 4) `xx` (- 4) `xx` (- 4)
= - 4096
This is the required solution of working with negative exponents function.
Practice Problem for Working with Negative Exponents
Problem 1: Work the given problem of negative exponents, -24.
Answer: - 16
Problem 2: Work the given problem of negative exponents, -53.
Answer: - 125
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