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Zero Exponent Rule Worksheet

Explore and apply the zero exponent rule to simplify expressions with this grade 9 math worksheet.

Grade 9 Math Number SenseExponentsZero Exponent Rule
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.A.1

Topics

mathexponentszero exponent rulealgebragrade 9
7 sections · Free to use · Printable
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Zero Exponent Rule

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Read each question carefully and simplify the expressions using the zero exponent rule. Remember that any non-zero base raised to the power of zero is equal to 1.

1. Any non-zero number raised to the power of zero is equal to  .

2. According to the zero exponent rule, 5⁰ =  .

3. If x ≠ 0, then x⁰ =  .

4. Which of the following expressions is equivalent to 1?

a

0⁰

b

(x + y)⁰, where x+y ≠ 0

c

10⁰ - 1

d

-7⁰

5. Simplify the expression: (3ab)⁰

a

0

b

1

c

3ab

d

3

6. Simplify: 12⁰

7. Simplify: (-4)⁰

8. Simplify: -(4)⁰

9. Simplify: (x²y³)⁰, where x≠0 and y≠0

10. Simplify: 5a⁰ + 3, where a≠0

11. The expression 0⁰ is always equal to 1.

T

True

F

False

12. If m is any real number, then (m)⁰ = 1.

T

True

F

False

13. Simplify the expression: (2x⁰y⁴)³ / (4y¹²), where x≠0 and y≠0. Show your steps.

14. Evaluate: ( (5⁰ + 2⁰) / (3⁰ - 1⁰) )⁰, where the denominator is not zero.