Study online laws of exponents
Introduction exponents:-
what are exponents
Exponent is a math function symbolized by` a^n` ,
Now let us see the laws of exponents.
Laws of Exponents:-
The following law of exponents.
Study online laws of exponents
Online lend a hand to study at that moment each time when ever you need assist in some subjects. Online has been recognized one of the main source for students to get help related to their subjects.
Now lets see the solved Problems that helps you to understand this topic more clearly.
Online Solved Problems:-
Study Online Problem : 1Solve and Find the product of these two exponents 15 2 and.15 1
Solution:We need to simplify the exponents 15 2 and.15 1
Here the exponents are in the form of law1
am * an = a(m + n)
Here a =15, m= 2, n= 1.
By applying it in the law we get
= 15 (1+2)
= 15 3 = 15*15*15
= 225 * 15
Exponent value 153 = 3375
Study Online Problem : 2Solve and find the value of exponents ( 112)3
Solution:We need to simplify the exponents ( 112)3
Here the exponents are in the form of law 2
(am)n = am*n
By comparing (am)n and ( 112)3
The value of a= 11, m= 2, n= 3.
By applying it in the formula we get
=( 112*3)= 116= 11*11*11*11*11*11.
=1771561.
Study Online Problem : 3Solve and find the find the value of exponents {(3).(4)}2
Solution:We need to simplify the exponents {(3).(4)}2
Here the exponents are in the form of law 3
(a * b)m = am bm
By comparing (a * b)m and {(3).(4)}2
Here a = 3, b= 4 and m= 2
By applying it in the rule we get
= 3 2.42
=9*16
=144
Study Online Problem : 4Solve and find value of the exponents` (4^4 ) / (4^2)`
Solution:We need to simplify the exponents ` (4^4 ) / (4^2)`
Here the exponents are in the form of law 4
`a^m/ a^n` = am-n
By comparing `"a^m/b^n ` and ` (4^4 ) / (4^2)`
Here a = 4, m = 4, n= 2.
By applying it in the formula we get the
= 44-2
=11 2
=11 * 11
= 121.
what are exponents
Exponent is a math function symbolized by` a^n` ,
- a is the base.
- n is the exponent.
Now let us see the laws of exponents.
Laws of Exponents:-
The following law of exponents.
- Law 1 am * an = a(m+n)
- Law 2 ( am)n = amn
- Law 3 (ab)m = am bm
- Law 4 `a^m/ a^n` = am-n
- Law 5 a0 = 1.
- Law 6 a1 =a
Study online laws of exponents
Online lend a hand to study at that moment each time when ever you need assist in some subjects. Online has been recognized one of the main source for students to get help related to their subjects.
Now lets see the solved Problems that helps you to understand this topic more clearly.
Online Solved Problems:-
Study Online Problem : 1Solve and Find the product of these two exponents 15 2 and.15 1
Solution:We need to simplify the exponents 15 2 and.15 1
Here the exponents are in the form of law1
am * an = a(m + n)
Here a =15, m= 2, n= 1.
By applying it in the law we get
= 15 (1+2)
= 15 3 = 15*15*15
= 225 * 15
Exponent value 153 = 3375
Study Online Problem : 2Solve and find the value of exponents ( 112)3
Solution:We need to simplify the exponents ( 112)3
Here the exponents are in the form of law 2
(am)n = am*n
By comparing (am)n and ( 112)3
The value of a= 11, m= 2, n= 3.
By applying it in the formula we get
=( 112*3)= 116= 11*11*11*11*11*11.
=1771561.
Study Online Problem : 3Solve and find the find the value of exponents {(3).(4)}2
Solution:We need to simplify the exponents {(3).(4)}2
Here the exponents are in the form of law 3
(a * b)m = am bm
By comparing (a * b)m and {(3).(4)}2
Here a = 3, b= 4 and m= 2
By applying it in the rule we get
= 3 2.42
=9*16
=144
Study Online Problem : 4Solve and find value of the exponents` (4^4 ) / (4^2)`
Solution:We need to simplify the exponents ` (4^4 ) / (4^2)`
Here the exponents are in the form of law 4
`a^m/ a^n` = am-n
By comparing `"a^m/b^n ` and ` (4^4 ) / (4^2)`
Here a = 4, m = 4, n= 2.
By applying it in the formula we get the
= 44-2
=11 2
=11 * 11
= 121.