Grade 12 Exponential Properties Worksheet
Worksheet for Grade 12 students covering exponential properties including multiplication, division, power of a power, and negative exponents.
Includes
Standards
Topics
Exponential Properties Mastery
Name:
Date:
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Read each question carefully and simplify the expressions using the properties of exponents. Show all your work.
Simplify each expression. Your answer should contain only positive exponents.
1. (2x³y⁻²)³
2. (4a⁴b²)/(2a²b⁻³)
3. (3m⁻²n⁴) * (2m⁵n⁻¹)
Complete the statements below using the correct exponential property or simplified expression.
1. When multiplying exponents with the same base, you the powers. For example, xᵃ * xᵇ = .
2. When dividing exponents with the same base, you the powers. For example, xᵃ / xᵇ = .
3. A negative exponent indicates the of the base. For example, x⁻ⁿ = .
1. Which of the following is equivalent to (x⁻²y³)⁻¹?
x²y⁻³
x⁻³y²
1/(x²y³)
y³/x²
2. What is the value of (5⁰ + 5¹)⁻¹?
1/6
6
-6
1/5
Determine if each statement is true or false.
1. (a + b)² = a² + b²
True
False
2. Any non-zero number raised to the power of zero is 1.
True
False
Solve the following problem, showing all steps.
1. An initial investment of $1000 doubles every 5 years. Write an exponential expression to model the investment's value after 't' years. Then, calculate the value of the investment after 15 years.
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