Grade 11 Exponent Operations Worksheet
This worksheet provides practice problems on various exponent operations for Grade 11 students, including multiplication, division, power of a power, and negative exponents.
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Grade 11 Exponent Operations
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Read each question carefully and simplify the expressions using the rules of exponents. Show all your work.
Simplify the following expressions. (Product Rule)
1. x^5 * x^3
2. (2y^4)(3y^2)
3. (-4a^2b^3)(5ab^5)
Simplify the following expressions. (Quotient Rule)
1. m^7 / m^2
2. (12p^6) / (3p^2)
3. (20x^5y^8) / (4x^2y^3)
Simplify the following expressions. (Power of a Power Rule)
1. (z^4)^3
2. (2t^3)^4
3. (-3c^2d^5)^2
Simplify the following expressions. (Negative and Zero Exponent Rules)
1. 5^-2
2. x^0
3. (7ab^3)^0
4. 1 / y^-3
Choose the correct simplified expression.
1. Simplify: (x^2 * y^3)^2
x^4 y^6
x^4 y^5
x^2 y^5
x^4 y^9
2. Simplify: (15a^7b^3) / (5a^2b^5)
3a^5b^-2
3a^5/b^2
3a^5b^2
3a^9/b^8
Determine if the following statements are true or false.
1. (x^3)^2 = x^9
True
False
2. Any non-zero number raised to the power of zero is 1.
True
False
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