Exponents and powers help
Introduction :
what are exponents
Exponent is a math function symbolize by `a^n` ,
Now lets see the laws that are used for simplifying exponents and powers.
Law of Exponents :-
The following rules of exponents or powers.
Solved Problems on exponents and powers help :-
Exponents and powers help problem : 1 Solve and Find the product of these two exponents 8 3 and 8 2
Solution: We need to simplify the exponents 8 3 and 8 2
Here the exponents are in the form of law1
am * an = a(m + n)
Here a =8 , m= 3, n= 2.
By applying it in the law we get
= 8 (2+3)
= 8 5
8 5= 8*8*8*8*8.
= 64* 64* 8.
Exponent value 85 = 32768
Exponents and powers help problem : 2 Solve and find the value of exponents ( 84)2
Solution: We need to simplify the exponents (84)2
Here the exponents are in the form of law 2
(am)n = am*n
By comparing (am)n and (84)2.
The value of a= 8, m= 4, n= 2
By applying it in the formula we get
=8 (4*2)
= 88
= 8*8*8*8*8*8*8*8.
= 16 777 216
Exponent value (84)2= 32768
Exponents and powers help problem : 3 Solve and find the find the value of exponents {(8).(9)}2
Solution: We need to simplify the exponents {(8).(9)}2
Here the exponents are in the form of law 3
(a * b)m = am bm
By comparing (a * b)m and {(8).(9)}2
Here a = 8, b= 9 and m= 2
By applying it in the rule we get
= 8 2.92
= 64*81
= 5 184
Exponents and powers help problem : 4 Simplify the exponents `( 6^7) / (6^5)`
Solution: We need to simplify the exponents `( 6^7) / (6^5)`
Here the exponents are in the form of rule 4
`a^m/ a^n` = am-n
By comparing` a^m/ a^n and ( 6^7) / (6^5)`
Here a = 6, m = 7, n= 5.
By applying it in the formula we get the
= 67-5
=6 2
= 36.
what are exponents
Exponent is a math function symbolize by `a^n` ,
- a is the base.
- n is the exponent (or) power.
Now lets see the laws that are used for simplifying exponents and powers.
Law of Exponents :-
The following rules of exponents or powers.
- Law 1 am * an = a(m+n)
- Law 2 ( am)n = amn
- Law 3 (ab)m = am bm
- Law 4 am/ an= am-n
- Law 5 a0 = 1.
- Law 6 a1 =a
Solved Problems on exponents and powers help :-
Exponents and powers help problem : 1 Solve and Find the product of these two exponents 8 3 and 8 2
Solution: We need to simplify the exponents 8 3 and 8 2
Here the exponents are in the form of law1
am * an = a(m + n)
Here a =8 , m= 3, n= 2.
By applying it in the law we get
= 8 (2+3)
= 8 5
8 5= 8*8*8*8*8.
= 64* 64* 8.
Exponent value 85 = 32768
Exponents and powers help problem : 2 Solve and find the value of exponents ( 84)2
Solution: We need to simplify the exponents (84)2
Here the exponents are in the form of law 2
(am)n = am*n
By comparing (am)n and (84)2.
The value of a= 8, m= 4, n= 2
By applying it in the formula we get
=8 (4*2)
= 88
= 8*8*8*8*8*8*8*8.
= 16 777 216
Exponent value (84)2= 32768
Exponents and powers help problem : 3 Solve and find the find the value of exponents {(8).(9)}2
Solution: We need to simplify the exponents {(8).(9)}2
Here the exponents are in the form of law 3
(a * b)m = am bm
By comparing (a * b)m and {(8).(9)}2
Here a = 8, b= 9 and m= 2
By applying it in the rule we get
= 8 2.92
= 64*81
= 5 184
Exponents and powers help problem : 4 Simplify the exponents `( 6^7) / (6^5)`
Solution: We need to simplify the exponents `( 6^7) / (6^5)`
Here the exponents are in the form of rule 4
`a^m/ a^n` = am-n
By comparing` a^m/ a^n and ( 6^7) / (6^5)`
Here a = 6, m = 7, n= 5.
By applying it in the formula we get the
= 67-5
=6 2
= 36.