Grade 12 Exponent Operations Worksheet
A Grade 12 math worksheet focusing on simplifying expressions using exponent rules, including negative, zero, and fractional exponents, and solving exponential equations.
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Grade 12 Exponent Operations
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Date:
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Read each question carefully and simplify the expressions using the rules of exponents. Show all your work for full credit.
1. Simplify the following expression: (3x^2 y^-3 z^0)^-2 * (2x^-3 y^2 z^4)^3
2. Evaluate the expression: (81^(1/4)) * (27^(-2/3))
3. When multiplying exponents with the same base, you the powers. For example, a^m * a^n = .
4. Any non-zero base raised to the power of zero is always equal to .
5. A negative exponent indicates the of the base raised to the positive exponent. For example, a^-n = .
6. Which of the following is equivalent to (x^(1/3))^6?
x^2
x^3
x^(18)
x^(1/18)
7. What is the value of 5^-2?
-25
1/25
25
-1/25
8. Solve for x: 4^(x-1) = 64
9. Solve for y: 9^(2y) = 27^(y+1)
10. (a^m)^n = a^(m+n)
True
False
11. (ab)^n = a^n * b^n
True
False
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