7 Basic Rules For Exponents

Exponentiation is a mathematical operation, written equally bⁿ, involving 2 numbers, base of operations position out is b in addition to n is exponent. Now, nosotros volition portion to yous most the basic rules of exponetitation. There are seven basic rules inward exponentitation, such as:

1. Multiplication rules of exponents amongst the same basic number
2. Division rules of exponetitaion amongst the same basic mumber
3. Exponents dominion on exponent number
4. Exponents dominion of multiplication 2 number
5. Exponents dominion of partition 2 number
6. Rule of negative exponents number
7. Exponents dominion of fractional number

1. Multiplication rules of exponents amongst the same basic number

a^p x a^q = a^p+q

Information:
a : number
p in addition to q : exponent of the number

Example :
What is the lawsuit of 5² x 5³ ?

Answer:
a = 5
p = 2
q = 3

a^p x a^q = a^(p+q)
5² x 5³ = 5⁽²⁺³⁾
5² x 5³ = 5⁵

2. Division rules of exponetitaion amongst the same basic mumber

a^p : a^q = a^p-q

Information:
a : number
p in addition to q : exponent of the number

Example :
What is the lawsuit of 5³ : 5² ?

Answer:

a = 5

p = 3

q = 2

a^p : a^q = a^(p+q)
5³ : 5² = 5^(3-2)
5³ : 5² = 5¹

3. Exponents dominion on exponent number

(a^p)^q = a^{(p x q)}

Information:
a : number
p in addition to q : exponent of the number

Example :
What is the lawsuit of (5²)³ ?

Answer:
a = 5
p = 2
q = 3

(a^p)^q = a^{(p x q)}
(5²)³ = 5^{(2 x 3)}
(5²)³ = 5⁶

4. Exponents dominion of multiplication 2 number

(a x b)^p = a^p x b^p

Information:
a in addition to b : number
p : exponent of the number

Example :
What is the lawsuit of (4 x 5)² ?

Answer:
a = 4
b = 5
p = 2

(a x b)^p = a^p x b^p
(4 x 5)² = 4² x 5²
(4 x 5)² = 16 x 25

(4 x 5)² = 400

5. Exponents dominion of partition 2 number

(a : b)^p = a^p : b^p

Information:
a in addition to b : number
p : exponent of the number

Example :
What is the lawsuit of (4 : 2)² ?

Answer:
a = 4
b = 2
p = 2

(a : b)^p = a^p : b^p
(4 : 2)² = 4² : 2²
(4 : 2)² = xvi : 4

(4 : 2)² = 4

6. Rule of negative exponents number

a^-p = 1/a^p

Information:
a : number
p : exponent of the number

Example :
What is the lawsuit of 2^-2 ?

Answer:
a = 2
p = -2

a^-p = 1/a^p
2^-2 = 1/2²
2^-2 = 1/4

7. Exponents dominion of fractional number

a^p/q = ^q√a^p

Information:
a : number
p in addition to q : exponent of the number

Example :
What is the lawsuit of 2^4/2 ?

Answer:
a = 2
p = 4
q = 2

a^p/q = ^q√a^p
2^4/2 = ²√2⁴
2^4/2 = ²√16
2^4/2 = 4

The terminate of this article. Sorry if nosotros made a mistake.

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