Introduction to Exponents Exercises

Complete each multiplication operation.

1. \(2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 2\)

2. \(3x \cdot 3x \cdot 3x \cdot 3x = (\text{___} )^4\)

3. \(5^3 \cdot 5^4 = 5\text{___}\)

4. \(x^2 \cdot x^3 =\text{___} 5\)

5. \((-4)(-4)(-4) = (-4) \text{___}\)

6. \((x + 3)(x + 3) = (\text{___} )^2\)

7. \(7 \cdot 7^5 = 7\text{___}\)

8. \(z^6 \cdot z^3 =\text{___} 9\)

9. \((m + n - 1)(m + n - 1) = (m + n - 1)\text{___}\)

10. \((7y)(7y)(7y)(7y)(7y) = (\text{___} )^5\)

11. \(7^0 \cdot 7^4 = 7\text{___}\)

12. \((x - 1) \cdot (x - 1) \cdot (x - 1) = (\text{___} )^3\)

Complete each sum.

1. \(y^3 + y^3 + y^3 + y^3 = 4 \cdot y\text{___}\)

2. \(b^2 + b^2 + b^2 = \text{___}\cdot b2\)

3. \(a^6 + a^6 + a^6 = 3 \cdot a\text{___}\)

4. \(x + x + x + x = \text{___}\cdot x\)

5. \(5 + 5 + 5 =\text{___} \cdot 5\)

6. \(y^2 + y^2 + y^2 = 3 \cdot y\text{___}\)

Source: Algebra2Go, https://www.saddleback.edu/faculty/lperez/algebra2go/prealgebra/
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