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Zero Exponent Rule Worksheet

Grade 12 Math worksheet focusing on understanding and applying the Zero Exponent Rule in various contexts.

Grade 12 Math Number SenseExponentsZero Exponent Rule
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.cCCSS.MATH.CONTENT.HSA.APR.A.1

Topics

MathExponentsZero Exponent RuleGrade 12
7 sections · Free to use · Printable
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Zero Exponent Rule Worksheet

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Read each question carefully and apply the Zero Exponent Rule to simplify the expressions or answer the questions. Remember that any non-zero base raised to the power of zero is equal to 1.

1. What is the value of (5x - 3y)^0, where 5x - 3y ≠ 0?

a

0

b

1

c

5x - 3y

d

-1

2. Simplify the expression: (2a^2b^3c)^0.

a

0

b

1

c

2a^2b^3c

d

Undefined

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

4. The expression (x^2 + y^2)^0, where x and y are not both zero, simplifies to  .

5. (0)^0 is always equal to 1.

T

True

F

False

6. The Zero Exponent Rule applies to both numerical and algebraic bases.

T

True

F

False

7. Explain why x^0 = 1 for any non-zero number x. Provide an example.

8. Simplify the expression ( (a^2b^3) / (ab^2) )^0 and state any restrictions on the variables.

9. If f(x) = (x-2)^0 + (x+3)^0, what is f(x) for x ≠ 2 and x ≠ -3?

10. Consider the expression ( (2m^4n) / (5m^4n) )^0. Simplify the expression and explain the steps. What condition must be met for this simplification to be valid?