Grade 12 Exponentiation Worksheet
This worksheet covers advanced exponentiation concepts for Grade 12 students, including rational exponents, exponential equations, and properties of exponents.
Includes
Standards
Grade 12 Exponentiation Review
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. When multiplying exponents with the same base, you the powers. For example, x^a * x^b = .
2. When dividing exponents with the same base, you the powers. For example, x^a / x^b = .
3. Any non-zero base raised to the power of zero is always equal to .
4. A negative exponent indicates the of the base raised to the positive power. For example, x^-a = .
Simplify the following expressions, expressing your answers with positive exponents only.
5. (3x^2 y^-3)^2 * (2x^-1 y^4)^3
6. (a^5 b^2 c^-1) / (a^2 b^-3 c^4)
7. Which of the following is equivalent to ∛x^5?
x^(5/3)
x^(3/5)
x^-5/3
x^-3/5
8. Evaluate 16^(3/4).
4
8
12
32
Solve the following exponential equations for x.
9. 4^(x-1) = 64
10. 5^(2x+1) = 1/25