Sure! Let’s evaluate each exponent one by one. The task is to compute the value of each expression.
---
1. \( 7^1 = \boxed{7} \)
Any number raised to the power of 1 is itself.
---
2. \( 6^1 = \boxed{6} \)
Same rule: base to the first power is the base.
---
3. \( 4^1 = \boxed{4} \)
---
4. \( 3^4 = \boxed{81} \)
Compute step-by-step:
\( 3 \times 3 = 9 \)
\( 9 \times 3 = 27 \)
\( 27 \times 3 = 81 \)
---
5. \( 5^0 = \boxed{1} \)
Any non-zero number raised to the power of 0 equals 1.
---
6. \( 9^0 = \boxed{1} \)
Same as above — any non-zero base to the zero power is 1.
---
7. \( \left( \frac{2}{3} \right)^1 = \boxed{\frac{2}{3}} \)
Fraction to the first power remains the same.
---
8. \( \left( \frac{2}{5} \right)^0 = \boxed{1} \)
Again, any non-zero number (including fractions) to the zero power is 1.
---
9. \( \left( \frac{1}{4} \right)^2 = \boxed{\frac{1}{16}} \)
Square numerator and denominator:
\( \frac{1^2}{4^2} = \frac{1}{16} \)
---
10. \( 0.6^1 = \boxed{0.6} \)
Decimal to the first power is itself.
---
11. \( 0.8^0 = \boxed{1} \)
Even decimals (as long as not zero) to the zero power are 1.
---
12. \( 0.4^1 = \boxed{0.4} \)
Again, base to the first power is unchanged.
---
✔ Final Answers:
1. 7
2. 6
3. 4
4. 81
5. 1
6. 1
7. 2/3
8. 1
9. 1/16
10. 0.6
11. 1
12. 0.4
Let me know if you’d like this in worksheet format or with explanations for kids!
Parent Tip: Review the logic above to help your child master the concept of evaluating exponents worksheet.
