Exponents Flashcards
0
Q
x⁶x⁴x = ?
A
x¹¹
1
Q
xᵐ+xⁿ = ?
A
xᵐ⁺ⁿ
2
Q
(x⁶y⁷)(x⁴y¹⁰) = ?
A
x¹⁰y¹⁷
3
Q
xᵐ
—- = ? (2 answers)
xⁿ
A
xᵐ⁻ⁿ -OR-
xⁿ⁻ᵐ
4
Q
x⁸
— = ?
x⁶
A
x²
5
Q
x³
— = ?
x⁷
A
x⁴
6
Q
x⁴y⁵z⁹
——– = ?
x⁹y²z⁹
A
x⁵
7
Q
(xᵐ)ⁿ = ?
A
xᵐⁿ
8
Q
(x⁵)⁷ = ?
A
x³⁵
9
Q
(xy)ⁿ = ?
A
xⁿyⁿ
10
Q
(xy)³ = ?
A
x³y³
11
Q
(x⁷y³)¹⁰ = ?
A
x⁷⁰y³⁰
12
Q
(x/y)ⁿ = ?
A
yⁿ
13
Q
(x/y)⁶ = ?
A
y⁶
14
Q
(y⁴/z⁵)³ = ?
A
z¹⁵
15
Q
x⁻ⁿ = ?
A
xⁿ
16
Q
1
—- = ?
x⁻ᵐ
A
xᵐ
17
Q
2⁻³ = ?
A
1 1
— = —
2³ 8
18
Q
1
—– = ?
4⁻³
A
4³ = 64
19
Q
x⁻⁴y⁻⁵z⁶
——– = ?
x⁻⁶y⁴z⁻¹
A
x⁶z⁷ x²z⁷
—— = —–
x⁴y⁹ y⁹
20
Q
x³
(——)⁻² = ?
y⁻⁴
A
1
(y⁻⁴/x³)² = y⁻⁸/x⁶ = ——
x⁶y⁸
21
Q
x⁰ = ?
A
1
22
Q
(7ab)⁰ = ?
A
1
23
Q
7x⁰ = ?
A
7(1) = 7
24
(ab⁴c⁷)³ = ?
a³b¹²c²¹
25
(-b⁶)¹⁰¹ = ?
-b⁶⁰⁶
Negative number
26
(-ab⁸)² = ?
a²b¹⁶
Positive number
27
(a⁻³b²c⁻¹)(a⁻¹b⁻¹) = ?
b
-----
a⁴c
28
(3b⁻³)⁻³
1 1 b⁹
-------- = -------- = -----
(3b⁻³)³ 27b⁻⁹ 27
29
If 0 < x < 1, then 1/x > ?
1
30
If x > 1, then 0 < ___ < 1
1/x
31
If -1 < x < 0, then 1/x < ?
-1
32
If x < -1, then -1< ___ < 0
1/x
33
If -32 < x < -7, then which is bigger: x² or x³?
x will always be negative, thus x² will always be larger
34
If -1 < x < 0, which is bigger: -1/x³ or -1/x⁴?
x will always be negative, thus -1/x³ will always be larger
35
If x < 0, which is bigger: x or -1/x³?
x will always be negative, thus -1/x³ will always be larger
36
Which is bigger: 3a²b⁶ or 3(ab³)²?
They are equal
3(ab³)² = 3a²b⁶
37
If x² = y², then which is bigger: x² or xy?
Can't tell. It depends on whether the numbers are positives or negatives
38
2ᵐ + 2ᵐ = ?
2ᵐ⁺¹
39
3ᵐ + 3ᵐ +3ᵐ = ?
3ᵐ⁺¹
40
4ᵐ + 4ᵐ + 4ᵐ + 4ᵐ = ?
4ᵐ⁺¹
41
If p = 4ⁿ, then 4p = ?
(4)4ⁿ = 4ⁿ⁺¹
