Roots & Exponents Flashcards
Perfect squares never end in
2,3,7,8
Perfect cubes
0,1,2-8,3-27,4-64,5-125,6-216,7-343,8-512,9-729,10-1000
sq rt 2
1.4
sq rt 3
1.7
sq rt 5
2.2
sq rt 6
2.4
sq rt 7
2.6
sq rt 8
2.8
Raising a number other than -1,0,1 to any power other than -1,0,1 will increase the number (x^n > x) in all cases EXCEPT
1) base is neg / exp is odd, pos / -4^3 < -4
2) base is pos fraction / exp is pos int / (1/4)^2 < (1/4)
3) base is pos / exp is a pos fraction / 4^(1/2) < 4
4) base is pos / exp is neg / 2^-3 < 2
5) base is neg fraction / exp is neg / (-1/2)^-3 < (-1/2)
0 to any power except 0 is
0
-1 to any power except 0 is
-1 or 1
1 to any power except 0 is
1
Any number raised to 0 is
1
Any number raised to -1 is
its reciprocal
Any number raised to 1 is
the same