Exponents Flashcards
x⁶x⁴x = ?
x¹¹
xᵐ+xⁿ = ?
xᵐ⁺ⁿ
(x⁶y⁷)(x⁴y¹⁰) = ?
x¹⁰y¹⁷
xᵐ
—- = ? (2 answers)
xⁿ
xᵐ⁻ⁿ -OR-
xⁿ⁻ᵐ
x⁸
— = ?
x⁶
x²
x³
— = ?
x⁷
x⁴
x⁴y⁵z⁹
——– = ?
x⁹y²z⁹
x⁵
(xᵐ)ⁿ = ?
xᵐⁿ
(x⁵)⁷ = ?
x³⁵
(xy)ⁿ = ?
xⁿyⁿ
(xy)³ = ?
x³y³
(x⁷y³)¹⁰ = ?
x⁷⁰y³⁰
(x/y)ⁿ = ?
yⁿ
(x/y)⁶ = ?
y⁶
(y⁴/z⁵)³ = ?
z¹⁵
x⁻ⁿ = ?
xⁿ
1
—- = ?
x⁻ᵐ
xᵐ
2⁻³ = ?
1 1
— = —
2³ 8
1
—– = ?
4⁻³
4³ = 64
x⁻⁴y⁻⁵z⁶
——– = ?
x⁻⁶y⁴z⁻¹
x⁶z⁷ x²z⁷
—— = —–
x⁴y⁹ y⁹
x³
(——)⁻² = ?
y⁻⁴
1
(y⁻⁴/x³)² = y⁻⁸/x⁶ = ——
x⁶y⁸
x⁰ = ?
1
(7ab)⁰ = ?
1
7x⁰ = ?
7(1) = 7
(ab⁴c⁷)³ = ?
a³b¹²c²¹
(-b⁶)¹⁰¹ = ?
-b⁶⁰⁶
Negative number
(-ab⁸)² = ?
a²b¹⁶
Positive number
(a⁻³b²c⁻¹)(a⁻¹b⁻¹) = ?
a⁴c
(3b⁻³)⁻³
1 1 b⁹
——– = ——– = —–
(3b⁻³)³ 27b⁻⁹ 27
If 0 < x < 1, then 1/x > ?
1
If x > 1, then 0 < ___ < 1
1/x
If -1 < x < 0, then 1/x < ?
-1
If x < -1, then -1< ___ < 0
1/x
If -32 < x < -7, then which is bigger: x² or x³?
x will always be negative, thus x² will always be larger
If -1 < x < 0, which is bigger: -1/x³ or -1/x⁴?
x will always be negative, thus -1/x³ will always be larger
If x < 0, which is bigger: x or -1/x³?
x will always be negative, thus -1/x³ will always be larger
Which is bigger: 3a²b⁶ or 3(ab³)²?
They are equal
3(ab³)² = 3a²b⁶
If x² = y², then which is bigger: x² or xy?
Can’t tell. It depends on whether the numbers are positives or negatives
2ᵐ + 2ᵐ = ?
2ᵐ⁺¹
3ᵐ + 3ᵐ +3ᵐ = ?
3ᵐ⁺¹
4ᵐ + 4ᵐ + 4ᵐ + 4ᵐ = ?
4ᵐ⁺¹
If p = 4ⁿ, then 4p = ?
(4)4ⁿ = 4ⁿ⁺¹
