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

ap x aq = ap+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

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

2. Division rules of exponetitaion amongst the same basic mumber

ap : aq = ap-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

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

3. Exponents dominion on exponent number

(ap)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

(ap)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 = ap x bp

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 = ap x bp
(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 = ap : bp

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 = ap : bp
(4 : 2)2 = 42 : 22
(4 : 2)2 = xvi : 4
(4 : 2)2 = 4

6. Rule of negative exponents number

a-p = 1/ap

Information:
a : number
p : exponent of the number

Example :
What is the lawsuit of 2-2 ?

Answer:
a = 2
p = -2

a-p = 1/ap
2-2 = 1/22
2-2 = 1/4

7. Exponents dominion of fractional number

ap/qq√ap

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

Example :
What is the lawsuit of 24/2 ?

Answer:
a = 2
p = 4
q = 2

ap/q = q√ap
24/2 = 2√24
24/2 = 2√16
24/2 = 4

The terminate of this article. Sorry if nosotros made a mistake.
Finaly I desire to nation wassalamualaikum wr. wb.

Referensi:
  • To'Ali's majority of describe of piece of employment concern accounting mathematics

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