Understand and apply the Product of Powers Rule and the Quotient of Powers Rule
Simplify exponent expressions with same integer bases
Recognize and use positive and negative exponents
Solve real-world math problems involving powers and exponents
Feel more confident in tackling exponent problems on quizzes and exams
Imagine if you had to write 3 × 3 × 3 × 3 every single time. Exhausting, right? That’s where exponents come in. Instead of writing that long multiplication, we simply write 3⁴.
But what happens when we have to multiply or divide powers that have the same base? Here’s where the laws of exponents save the day! In this worksheet, you'll dive into the exciting world of multiplying and dividing powers with integer bases. You'll learn how to turn big-looking expressions into simple, powerful single terms using easy rules.
Example 1: Multiply Powers
Simplify:
Since the base is the same (4), we add the exponents:
Example 2: Divide Powers
Simplify:
Again, same base! This time, we subtract the exponents:
See? Easy peasy when you follow the rules!
You’ll use exponent rules in:
Computer science (coding, algorithms)
Engineering (formulas, energy equations)
Finance (compound interest)
Even in gaming (power-ups, scoring systems)
Understanding how to multiply and divide powers helps you make sense of real-world data and builds the skills you need for high school math and beyond!
This worksheet is more than just practice—it’s your ticket to becoming an exponent pro. Grab your pencil, apply the rules, and see how simple math becomes when you understand the power behind the powers.
Let’s go multiply and divide like math wizards!
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