Power of a Power with Integer Bases (Grade 8)

Welcome to your next math adventure, 8th graders! This worksheet dives into one of the coolest exponent rules in algebra: Power of a Power. If you've ever looked at an expression like       and wondered what to do next — this sheet is for you!

Topic Background

In math, exponent rules help us simplify big and complicated expressions. One powerful rule is called the "Power of a Power Rule." It states that when you raise a power to another power, you multiply the exponents. For example:

This worksheet will help you apply this rule to integer bases, like 2, 3, 4, and beyond!

Solved Example

Let’s look at this example together:

Step 1: Multiply the exponents → 3×2=6
Step 2: Simplify →

That’s it! Easy and fun — just multiply the powers.

🎉 Fun Fact!

Did you know?

If you keep using the power of a power rule, numbers grow really fast. Just look at and now try !

That’s the magic of exponential growth — the same mathbehind how fast rockets accelerate and how social media posts go viral!

This worksheet is not just about solving math — it's about exploring the beauty of patterns, rules, and powers.

So sharpen your pencils, power up your brain, and get ready to simplify expressions like a math superhero!