Applying Exponent Properties
This page focuses on applying the properties of exponents to solve more complex problems. It provides a step-by-step approach to tackling expressions involving multiple exponent properties.
The page outlines a series of steps to follow when working with exponents:
- Apply the zero exponent rule
- Use the power to power property
- Eliminate negative exponents
- Apply multiplication with the same base
- Apply division with the same base
Several examples are provided to illustrate how these steps are applied in practice. One such example demonstrates the solution to the expression:
(2⁻²)³ · 3y · x³ / (x⁴ · y)
The solution is broken down step-by-step, showing how each property is applied to simplify the expression.
Example:
Step 1: (2⁻²)³ = 2⁻⁶ (power to power)
Step 2: 2⁻⁶ = 1/2⁶ = 1/64 (negative exponent)
Step 3: (1/64) · 3y · x³ / (x⁴ · y)
Step 4: (1/64) · 3 · x³⁻⁴ / y
Final result: (3/64) · x⁻¹ / y
The page also includes additional practice problems for students to apply these concepts independently.
Highlight: Understanding the order of operations for exponent properties is crucial for solving complex exponential expressions.
This comprehensive guide provides students with the tools and practice needed to master the multiplication and division properties of exponents in Integrated Math 2.
