Zero Exponent Rule Worksheet
Grade 12 Math worksheet focusing on understanding and applying the Zero Exponent Rule in various contexts.
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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?
0
1
5x - 3y
-1
2. Simplify the expression: (2a^2b^3c)^0.
0
1
2a^2b^3c
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.
True
False
6. The Zero Exponent Rule applies to both numerical and algebraic bases.
True
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?
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