Exponents

Question 0

x⁶x⁴x = ?

Answer 0

x¹¹

Question 1

xᵐ+xⁿ = ?

Answer 1

xᵐ⁺ⁿ

Question 2

(x⁶y⁷)(x⁴y¹⁰) = ?

Answer 2

x¹⁰y¹⁷

Question 3

xᵐ
—- = ? (2 answers)
xⁿ

Answer 3

xᵐ⁻ⁿ -OR-

xⁿ⁻ᵐ

Question 4

x⁸
— = ?
x⁶

Answer 4

x²

Question 5

x³
— = ?
x⁷

Answer 5

x⁴

Question 6

x⁴y⁵z⁹
——– = ?
x⁹y²z⁹

Answer 6

x⁵

Question 7

(xᵐ)ⁿ = ?

Answer 7

xᵐⁿ

Question 8

(x⁵)⁷ = ?

Answer 8

x³⁵

Question 9

(xy)ⁿ = ?

Answer 9

xⁿyⁿ

Question 10

(xy)³ = ?

Answer 10

x³y³

Question 11

(x⁷y³)¹⁰ = ?

Answer 11

x⁷⁰y³⁰

Question 12

(x/y)ⁿ = ?

Answer 12

yⁿ

Question 13

(x/y)⁶ = ?

Answer 13

y⁶

Question 14

(y⁴/z⁵)³ = ?

Answer 14

z¹⁵

Question 15

x⁻ⁿ = ?

Answer 15

xⁿ

Question 16

1
—- = ?
x⁻ᵐ

Answer 16

xᵐ

Question 17

2⁻³ = ?

Answer 17

1 1
— = —
2³ 8

Question 18

1
—– = ?
4⁻³

Answer 18

4³ = 64

Question 19

x⁻⁴y⁻⁵z⁶
——– = ?
x⁻⁶y⁴z⁻¹

Answer 19

x⁶z⁷ x²z⁷
—— = —–
x⁴y⁹ y⁹

Question 20

x³
(——)⁻² = ?
y⁻⁴

Answer 20

1
(y⁻⁴/x³)² = y⁻⁸/x⁶ = ——
x⁶y⁸

Question 21

x⁰ = ?

Answer 21

1

Question 22

(7ab)⁰ = ?

Answer 22

1

Question 23

7x⁰ = ?

Answer 23

7(1) = 7

Question 24

(ab⁴c⁷)³ = ?

Answer 24

a³b¹²c²¹

Question 25

(-b⁶)¹⁰¹ = ?

Answer 25

-b⁶⁰⁶

Negative number

Question 26

(-ab⁸)² = ?

Answer 26

a²b¹⁶

Positive number

Question 27

(a⁻³b²c⁻¹)(a⁻¹b⁻¹) = ?

Answer 27

a⁴c

Question 28

(3b⁻³)⁻³

Answer 28

1 1 b⁹
——– = ——– = —–
(3b⁻³)³ 27b⁻⁹ 27

Question 29

If 0 < x < 1, then 1/x > ?

Answer 29

1

Question 30

If x > 1, then 0 < ___ < 1

Answer 30

1/x

Question 31

If -1 < x < 0, then 1/x < ?

Answer 31

-1

Question 32

If x < -1, then -1< ___ < 0

Answer 32

1/x

Question 33

If -32 < x < -7, then which is bigger: x² or x³?

Answer 33

x will always be negative, thus x² will always be larger

Question 34

If -1 < x < 0, which is bigger: -1/x³ or -1/x⁴?

Answer 34

x will always be negative, thus -1/x³ will always be larger

Question 35

If x < 0, which is bigger: x or -1/x³?

Answer 35

x will always be negative, thus -1/x³ will always be larger

Question 36

Which is bigger: 3a²b⁶ or 3(ab³)²?

Answer 36

They are equal

3(ab³)² = 3a²b⁶

Question 37

If x² = y², then which is bigger: x² or xy?

Answer 37

Can’t tell. It depends on whether the numbers are positives or negatives

Question 38

2ᵐ + 2ᵐ = ?

Answer 38

2ᵐ⁺¹

Question 39

3ᵐ + 3ᵐ +3ᵐ = ?

Answer 39

3ᵐ⁺¹

Question 40

4ᵐ + 4ᵐ + 4ᵐ + 4ᵐ = ?

Answer 40

4ᵐ⁺¹

Question 41

If p = 4ⁿ, then 4p = ?

Answer 41

(4)4ⁿ = 4ⁿ⁺¹