Grade 12 Exponent Laws Worksheet
A worksheet for Grade 12 students covering various exponent laws, including product, quotient, power, zero, and negative exponent rules.
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Grade 12 Exponent Laws Review
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Read each question carefully and simplify all expressions using the exponent laws. Show all your work.
1. Simplify the following expressions:
a) (x^3 * x^5) / x^2
b) (2a^4 * 3a^2) / (6a)
2. Simplify the following expressions:
a) (y^4)^3
b) ( (2m^2)^3 * m^4 ) / (4m^5)
3. Fill in the blanks to complete the simplifications:
a) Any non-zero base raised to the power of zero is .
b) x^-3 can be written as 1 / .
c) (5^-1)^2 = .
4. Which of the following is equivalent to (x^2 * y^3)^-2?
x^-4 * y^-6
1 / (x^4 * y^6)
x^4 * y^6
1 / (x^2 * y^3)^2
5. Determine if the following statements are True or False:
a) (a^2)^0 = 1, for all real numbers 'a'.
True
False
b) (x^2 * y^3) / (x^4 * y) = y^2 / x^2
True
False
6. Simplify the following expression completely: ( (3x^2 * y^-3)^2 ) / ( (x^-1 * y^2)^3 )