Properties of Exponents
Properties of Exponents
Examples !=
!
!
! = ! ! !
!
! = ! ! !
! = ! ! !
! = ! ! !
!
Exponent-Radical Table
Perfect
Squares
1! = 1 2! = 4 3! = 9 4! = 16 Square
Roots
1 = 1 4 = 2 9 = 3 16 = 4 Perfect
Cubes 1! = 1 2! = 8 3! = 27 4! = 64 Cube
Roots
!
1 = 1 !
8 = 2 !
27 = 3 !
64 = 4 5! = 25 25 = 5 5! = 125 !
125 = 5 5! = 625 6! = 36 36 = 6 6! = 216 !
216 = 6 6! = 1,296 7! = 49 49 = 7 7! = 343 !
343 = 7 7! = 2,401 8! = 64 64 = 8 8! = 512 !
512 = 8 8! = 4,096 9! = 81 81 = 9 9! = 729 !
729 = 9 9! = 6,561 10! = 100 100 = 10 10!
= 1,000 !
1,000
= 10 Perfect
Fourths 1! = 1 2! = 16 3! = 81 4! = 256 10!
= 10,000 Fourth
Roots !
1 = 1 !
16 = 2 !
81 = 3 !
256 = 4 !
625 = 5 !
1,296
= 6 !
2,401
= 7 !
4,096
= 8 !
6,561
= 9 !
10,000
= 10 Perfect
Fifths 1! = 1 2! = 32 3! = 243 4! = 1,024 5! = 3,125 6! = 7,776 7! = 16,807 8! = 32,768 9! = 59,049 10!
= 100,000 Fifth Roots !
1 = 1 32 = 2 !
243 = 3 !
1,024
= 4 !
3,125
= 5 !
7,776
= 6 !
16,807
= 7 !
32,768
= 8 !
59,049
= 9 !
100,000
= 10 !
Perfect
Sixths 1! = 1 2! = 64 3! = 729 4! = 4,096 Sixth Root 5! = 15,625 15,625
= 5 !
46,656
= 6 !
117,649
= 7 !
262,144
= 8 !
531,441
= 9 !
1,000,000
= 10 6! = 46,656 7! = 117,649 8! = 262,144 9! = 531,441 10!
= 1,000,000 !
1 = 1 64 = 2 !
729 = 3 !
4,096 = 4 !
!
Properties of Exponents