Algebra 1 Exponent Addition Worksheet with ten problems for practice.

I'll solve each exponent addition problem step by step.

Let me work through all 10 problems carefully:

Problem 1: (-9)² + 3⁴
- (-9)² = (-9) × (-9) = 81 (negative times negative is positive)
- 3⁴ = 3 × 3 × 3 × 3 = 81
- 81 + 81 = 162

Problem 2: (-9)³ + (-7)²
- (-9)³ = (-9) × (-9) × (-9) = -729 (odd power keeps the negative sign)
- (-7)² = (-7) × (-7) = 49 (even power makes it positive)
- -729 + 49 = -680

Problem 3: 10³ + (-9)²
- 10³ = 10 × 10 × 10 = 1,000
- (-9)² = (-9) × (-9) = 81
- 1,000 + 81 = 1,081

Problem 4: 9³ + (-9)⁰
- 9³ = 9 × 9 × 9 = 729
- (-9)⁰ = 1 (anything to the power of 0 equals 1)
- 729 + 1 = 730

Problem 5: 4² + (-6)³
- 4² = 4 × 4 = 16
- (-6)³ = (-6) × (-6) × (-6) = -216
- 16 + (-216) = 16 - 216 = -200

Problem 6: -9² + 3²
- -9² = -(9²) = -(81) = -81 (the negative is outside, so we square 9 first, then apply negative)
- 3² = 3 × 3 = 9
- -81 + 9 = -72

Problem 7: 4⁸ + 8⁸
- 4⁸ = 65,536
- 8⁸ = 16,777,216
- 65,536 + 16,777,216 = 16,842,752

Problem 8: -3⁹ + (-8)²
- -3⁹ = -(3⁹) = -(19,683) = -19,683
- (-8)² = (-8) × (-8) = 64
- -19,683 + 64 = -19,619

Problem 9: 8⁴ + 2³
- 8 = 8 × 8 × 8 × 8 = 4,096
- 2³ = 2 × 2 × 2 = 8
- 4,096 + 8 = 4,104

Problem 10: (-2)⁴ + (-0.02)³
- (-2) = (-2) × (-2) × (-2) × (-2) = 16 (even power makes it positive)
- (-0.02)³ = (-0.02) × (-0.02) × (-0.02) = -0.000008 (odd power keeps negative)
- 16 + (-0.000008) = 16 - 0.000008 = 15.999992

Final Answer:
1. 162
2. -680
3. 1,081
4. 730
5. -200
6. -72
7. 16,842,752
8. -19,619
9. 4,104
10. 15.999992