Exponents worksheet

First do the Whole number exponents (0,1,2,3,4,5),
then negative integer exponents (-1,-2,-3),
then rational exponents (½,⅓,5/2)
then irrational exponents (√2,e,π).

exponent
x
2x ex 3x 10x
-3
-2
-1
0
1/3 =∛
1/2 =√
1
√2 ≈1.414
2
5/2 =2.5
e ≈2.71828
3
π ≈3.141592
4
5
10
20

b>0 → bx>0

Going down are increasing exponents, so strictly increasing values going down.
Going across are increasing bases, so strictly increasing values going across (except for negative exponents, reversed).

Rational exponent:
bn/d = d√(bn) = (d√b)n
Ex.    b5/2 = √(b5) = (√b)5
Ex.    b5/3 = ∛(b5) = (∛b)5