Rules Of Exponents Flashcards
1
Q
What is a base?
A
The number being raised to a power. e.g. in x^a, x is the base.
2
Q
What is an exponent?
A
An exponent is the power a number or variable is being raised to. e.g. in x^a, a is the exponent.
3
Q
What is x^(-a)?
A
1/(x^a)
4
Q
What is (x^a)(x^b)?
A
x^(a+b)
5
Q
What is (x^a)/(x^b)?
A
x^(a-b) or 1/[x^(b-a)]
6
Q
What is x^0?
A
1
7
Q
What is (x^a)(y^a)?
A
(xy)^a
8
Q
What is (x/y)^a?
A
(x^a)/(y^a)
9
Q
What is (x^a)^b?
A
x^(ab)
10
Q
Does (x^a)(y^b)=(xy)^(a+b)?
A
No
11
Q
Does (x^a)^b=(x^a)(x^b)?
A
No
12
Q
Does (x+y)^a=(x^a)+(y^a)?
A
No
13
Q
Does (-x)^2=-x^2?
A
No
14
Q
Does sqrt(x^2+y^2)=x+y?
A
No
15
Q
Does a/(x+y)=a/x+a/y?
A
No
