Let’s go through each problem one by one, solve it correctly, and match it to the right exponent rule.
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1. 7⁰ = ?
Any number (except 0) raised to the power of 0 is
1.
→ So, 7⁰ =
1
This matches:
Zero Power Rule
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2. 9¹ = ?
Any number raised to the power of 1 is just itself.
→ So, 9¹ =
9
This matches:
Power of "One"
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3. 6⁵ × 6³ = ?
When multiplying powers with the same base, add the exponents:
6 × 6³ = 6^(5+3) = 6⁸
→ Answer:
6⁸
This matches:
Product Rule
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4. 8⁷ ÷ 8² = ?
When dividing powers with the same base, subtract the exponents:
8⁷ ÷ 8² = 8^(7-2) = 8⁵
→ Answer:
8⁵
This matches:
Quotient Rule
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5. (3²)⁶ = ?
When raising a power to another power, multiply the exponents:
(3²)⁶ = 3^(2×6) = 3¹²
→ Answer:
3¹²
This matches:
Power of a Power
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6. (2x)³ = ?
When raising a product to a power, raise each factor to that power:
(2x)³ = 2³ × x³ = 8x³
→ Answer:
8x³
This matches:
Power of a Product
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7. (2/3)² = ?
When raising a quotient (fraction) to a power, raise both numerator and denominator to that power:
(2/3)² = 2² / 3² = 4/9
→ Answer:
4/9
This matches:
Power of a Quotient
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8. 5⁻² = ?
Negative exponent means take the reciprocal and make the exponent positive:
5⁻² = 1 / 5² = 1/25
→ Answer:
1/25
This matches:
Negative Exponent Rule
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✔ All answers are correct and matched properly.
Final Answer:
1 → Zero Power Rule
2 → Power of "One"
3 → Product Rule
4 → Quotient Rule
5 → Power of a Power
6 → Power of a Product
7 → Power of a Quotient
8 → Negative Exponent Rule
Parent Tip: Review the logic above to help your child master the concept of exponents rules worksheet.
