Dividing Powers Worksheet
This worksheet focuses on dividing powers with the same base, different bases, and applying the quotient rule for exponents, suitable for Grade 12 students.
Includes
Standards
Topics
Dividing Powers
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Read each question carefully and simplify the expressions involving dividing powers. Show all your work.
1. The quotient rule for exponents states that when dividing powers with the same base, you the exponents. Mathematically, this is expressed as a^m / a^n = a^( ).
2. Which of the following is equivalent to (x^8) / (x^3)?
x^24
x^5
x^11
x^(8/3)
3. Simplify the following expression: (y^10 * y^4) / y^6
4. Simplify: (12a^7b^3) / (4a^2b)
5. (2^5) / (2^2) = 2^3
True
False
6. (x^0) / (x^5) = x^(-5) for x ≠ 0
True
False
7. Simplify the expression: ( (3x^2)^3 * y^5 ) / ( 9x^4 * y^2 )
8. Given the expression ( (a^5 b^(-2)) / (a^(-1) b^3) )^(-2), simplify it to an equivalent form with positive exponents.
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