Math · Exponents
Exponent Rules and Integer Exponents
Product, quotient and power rules, zero exponents and negative exponents.
- 🎓 Grade 8
- 🧮 Math
- 📐 8.EE.A.1
- ❓ 23 questions
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Questions 23 questions
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Simplify: 5² × 5⁶
- A 5⁸
- B 25⁸
- C 5⁴
- D 5¹²
Same base: add the exponents.
3² × 3³ = ?
- A 729
- B 15
- C 243
- D 45
3⁵ = 243
5⁻² = ?
- A −10
- B 1/25
- C 1/10
- D −25
5⁻² = 1/5² = 1/25
Simplify: (a³)³
- A a²⁷
- B a⁶
- C a⁹
- D a³
Power of a power: multiply the exponents.
Which is equal to 4⁻² × 4⁵?
- A 4⁷
- B 16³
- C 4⁻¹⁰
- D 4³
2⁻³ = ?
- A 1/8
- B −8
- C 1/6
- D −6
2⁻³ = 1/2³ = 1/8
10⁻⁴ = ?
- A 1/10,000
- B −40
- C 1/40
- D −10,000
10⁻⁴ = 1/10⁴ = 1/10,000
2¹⁰ ÷ 2⁷ = ?
- A 64
- B 8
- C 3
- D 6
2³ = 8
12⁰ = ?
- A 12
- B 1
- C 0
- D 120
Any nonzero number to the zero power is 1.
Simplify: x⁴ × x⁵
- A x²⁰
- B x⁹
- C 2x⁹
- D x¹
Same base: add the exponents.
Simplify: 2³ × 2⁴
- A 2¹
- B 2⁷
- C 2¹²
- D 4⁷
Same base: add the exponents.
2³ × 3² = 6⁵
False You can only add exponents when the bases are the same. 8 × 9 = 72.
Simplify: 3⁷ × 3²
- A 3¹⁴
- B 3⁵
- C 9⁹
- D 3⁹
Same base: add the exponents.
Simplify: 4¹⁰ ÷ 4⁴
- A 4⁶
- B 4¹⁴
- C 1⁶
- D 4⁴⁰
Same base: subtract the exponents.
2⁰ = ?
- A 0
- B 20
- C 1
- D 2
Any nonzero number to the zero power is 1.
Simplify: y⁸ ÷ y⁵
- A 1³
- B y¹³
- C y³
- D y⁴⁰
Same base: subtract the exponents.
Simplify: (2⁴)⁵
- A 2⁹
- B 32⁴
- C 2²⁰
- D 2¹⁰²⁴
Power of a power: multiply the exponents.
Simplify: (3²)³
- A 3⁵
- B 3⁸
- C 27²
- D 3⁶
Power of a power: multiply the exponents.
Simplify: 10⁵ × 10³
- A 10¹⁵
- B 10⁸
- C 10²
- D 100⁸
Same base: add the exponents.
Simplify: 7⁹ ÷ 7³
- A 7¹²
- B 1⁶
- C 7⁶
- D 7³
Same base: subtract the exponents.
Simplify: 5⁶ ÷ 5²
- A 5⁸
- B 5³
- C 1⁴
- D 5⁴
Same base: subtract the exponents.
Simplify: (2x³)²
- A 4x⁵
- B 4x⁶
- C 2x⁶
- D 2x⁵
Square the 2 and multiply the exponents.
7⁰ = ?
- A 7
- B 1
- C 0
- D 70
Any nonzero number to the zero power is 1.
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