1 Exponents & Radicals Flashcards
1
Q
3 to the power of 0 equals
A
1
2
Q
3^2 * 3^3 equals
A
3^2+3
3
Q
3^2 / 3^3 equals
A
3^2-3
4
Q
(3^2)^3 equals
A
3^2*3
5
Q
(2*3)^2 equals
A
2^2 * 3^2
6
Q
(2/3)^2 equals
A
2^2 / 3^2 = 4 / 9
7
Q
3^-2 equals
A
1 / 3^2 = 1 / 9
8
Q
(-3)^2 = ?
A
(-3)(-3) = 9
9
Q
-3^2 = ?
A
(-3)(3) = -9
10
Q
if 3^x+2 = y, what is 3^x in terms of y?
A
3^x * 3^2 = y
3^x * 9 = y
–> 3^x = y/9
11
Q
if 3^a+1 = 3^-a+7, what is a?
A
since the bases are the same,
a+1 = -a+7
–> a = 3
12
Q
if 2a - b = 4, what is 4^a / 2^b?
A
since 4 = 2^2,
4^a / 2^b = (2^2)^a / 2^b = 2^2a / 2^b
–> 2^2a-b
since 2a - b = 4,
2^4 = 16
13
Q
∜x^5 equals in terms of roots
A
x^5/4
14
Q
if 4√3 = √3x, what is x?
A
√443 = √3*16 = √3x
x = 16
