Exponents/Radicals Flashcards
0
Q
X^0=
A
- Always 1!
1
Q
Strategy for approaching exponent/root problems:
A
- Find common bases.
- Remove addition/subtraction by factoring.
- For difficult exponent problems find pattern and extrapolate. (Exponents are very pattern driven)
- For abstract or large numbers, use simple examples or numbers in order to reason out the proper approach. (Get the ball rolling)
2
Q
X^1=
A
Always x!
3
Q
X raised to what always equals x?
A
1
4
Q
X raised to what always equals 1?
A
0
5
Q
(X)/(x) = x raised to the what?
A
0
6
Q
(1/a) raised to a power greater than one equals what kind of number?
A
A number smaller than a if a is positive. If a is negative it’s unclear…
7
Q
A number less than 1 is raised to a number greater than 1. If all numbers are positive will the new number be smaller or larger than the original?
A
Smaller!
8
Q
(-x) raised to an exponent gives a negative or positive number?
A
-x raised to an even number is positive. -x raised to an odd number is negative.
