Let's solve each problem on the
Algebra 1 Worksheet: Exponents Addition step by step.
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Problem 1: $(-9)^2 + 3^4$
- $(-9)^2 = (-9) \times (-9) = 81$
- $3^4 = 3 \times 3 \times 3 \times 3 = 81$
- Add: $81 + 81 = \boxed{162}$
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Problem 2: $(-9)^2 + (-7)^2$
- $(-9)^2 = 81$
- $(-7)^2 = (-7) \times (-7) = 49$
- Add: $81 + 49 = \boxed{130}$
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Problem 3: $10^2 + (-9)^2$
- $10^2 = 100$
- $(-9)^2 = 81$
- Add: $100 + 81 = \boxed{181}$
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Problem 4: $9^3 + (-9)^2$
- $9^3 = 9 \times 9 \times 9 = 729$
- $(-9)^2 = 81$
- Add: $729 + 81 = \boxed{810}$
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Problem 5: $4^2 + (-6)^3$
- $4^2 = 16$
- $(-6)^3 = (-6) \times (-6) \times (-6) = 36 \times (-6) = -216$
- Add: $16 + (-216) = \boxed{-200}$
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Problem 6: $-9^2 + 3^4$
⚠️
Important Note: The expression is written as
$-9^2$, not $(-9)^2$.
In math, exponentiation has higher precedence than negation unless parentheses are used. So:
- $-9^2 = -(9^2) = -(81) = -81$
- $3^4 = 81$
- Add: $-81 + 81 = \boxed{0}$
> ⚠️ If it were $(-9)^2$, it would be 81, but here it's
not in parentheses → so it's
-81.
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Problem 7: $4^3 + 8^3$
- $4^3 = 4 \times 4 \times 4 = 64$
- $8^3 = 8 \times 8 \times 8 = 512$
- Add: $64 + 512 = \boxed{576}$
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Problem 8: $-3^2 + (-8)^2$
- $-3^2 = -(3^2) = -9$
- $(-8)^2 = 64$
- Add: $-9 + 64 = \boxed{55}$
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Problem 9: $8^2 + 2^3$
- $8^2 = 64$
- $2^3 = 8$
- Add: $64 + 8 = \boxed{72}$
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Problem 10: $(-2)^4 + (-0.02)^2$
- $(-2)^4 = (-2) \times (-2) \times (-2) \times (-2) = 16$
- $(-0.02)^2 = (-0.02) \times (-0.02) = 0.0004$
- Add: $16 + 0.0004 = \boxed{16.0004}$
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✔ Final Answers:
1. $162$
2. $130$
3. $181$
4. $810$
5. $-200$
6. $0$
7. $576$
8. $55$
9. $72$
10. $16.0004$
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Parent Tip: Review the logic above to help your child master the concept of simple algebra worksheet.
