Algebra Negative Exponents
Introduction :
A exponent is used to denote the powers of the variable or function. It says that how many number of times to use the given value in multiplication. Negative exponent means, a function or a variable having negative value in its power. Negative says that many times to use the given values in division. Negative exponent is equal to inverse of the same number with the positive number.
For example:
` x^(-5) = (1)/(x^5)`
Examples of Algebra Negative Exponents:
Here we will discuss the example problems for Algebra Negative Exponents,
Algebra Negative Exponents - Example: 1
Solve the following for x
`1 / x ^-3 ` = 8
Solution:
Given: `1 / x^-3` = 8
For any non zero number a and integer n is defined by a-n = `1/ a^n`
`x ^-3 ` = `1 / x^3`
So,` 1 / x ^-3` = 1 / (`1/x^3` )
= `x^3`
`x^3` = 8
`x^3` =` 2^3`
We get, x = 2.
Answer: The x value is 2.
Algebra Negative Exponent - Example: 2
Solve the following for x
1 / `x ^-2 ` = 25
Solution:
Given: `1/x^-2` = 25
For any non zero number a and integer n is defined by a-n = 1/ an
`x ^-2` = `1 / x^ 2`
So, `1 / x ^-2` = `1 / (1/x ^-2)`
= `x ^2`
`x ^2` = 25
`x ^2` = `5 ^2`
We get, x = 5.
Answer: The x value is 5.
Algebra Negative Exponents - Example: 3
Add: `x^- 2` + `x ^-4`
Solution:
Given: `x ^-2 + x ^-4`
The `x ^-m + x^ -n` = `x ^(-m-n)`
Here –m = -2 and –n = -4
So,
`x ^-2` + `x ^-4` =` x ^(-2 -4)`
=` x ^-6`
`x^-6 ` = `1/ x^6`
The answer is` 1 / x ^6` .
Practice problems on algebra negative exponents:
1. Solve the following for x: `1 / x ^-3` = 27
Answer: 3
2. Solve the following for x: `1 / x ^-2` = 64
Answer: 8
3. Solve the following for x: `1 / x ^-4` = 16
Answer: 2
4. Solve the following for x: `1 / x ^-3` = 125
Answer: 5
I like to share this Algebraic Expression Definition with you all through my blog.
A exponent is used to denote the powers of the variable or function. It says that how many number of times to use the given value in multiplication. Negative exponent means, a function or a variable having negative value in its power. Negative says that many times to use the given values in division. Negative exponent is equal to inverse of the same number with the positive number.
For example:
` x^(-5) = (1)/(x^5)`
Examples of Algebra Negative Exponents:
Here we will discuss the example problems for Algebra Negative Exponents,
Algebra Negative Exponents - Example: 1
Solve the following for x
`1 / x ^-3 ` = 8
Solution:
Given: `1 / x^-3` = 8
For any non zero number a and integer n is defined by a-n = `1/ a^n`
`x ^-3 ` = `1 / x^3`
So,` 1 / x ^-3` = 1 / (`1/x^3` )
= `x^3`
`x^3` = 8
`x^3` =` 2^3`
We get, x = 2.
Answer: The x value is 2.
Algebra Negative Exponent - Example: 2
Solve the following for x
1 / `x ^-2 ` = 25
Solution:
Given: `1/x^-2` = 25
For any non zero number a and integer n is defined by a-n = 1/ an
`x ^-2` = `1 / x^ 2`
So, `1 / x ^-2` = `1 / (1/x ^-2)`
= `x ^2`
`x ^2` = 25
`x ^2` = `5 ^2`
We get, x = 5.
Answer: The x value is 5.
Algebra Negative Exponents - Example: 3
Add: `x^- 2` + `x ^-4`
Solution:
Given: `x ^-2 + x ^-4`
The `x ^-m + x^ -n` = `x ^(-m-n)`
Here –m = -2 and –n = -4
So,
`x ^-2` + `x ^-4` =` x ^(-2 -4)`
=` x ^-6`
`x^-6 ` = `1/ x^6`
The answer is` 1 / x ^6` .
Practice problems on algebra negative exponents:
1. Solve the following for x: `1 / x ^-3` = 27
Answer: 3
2. Solve the following for x: `1 / x ^-2` = 64
Answer: 8
3. Solve the following for x: `1 / x ^-4` = 16
Answer: 2
4. Solve the following for x: `1 / x ^-3` = 125
Answer: 5
I like to share this Algebraic Expression Definition with you all through my blog.