%5E3-without-exponents.jpeg "(b^2)^3 Without Exponents")
Understanding (b^2)^3 without Exponents
The expression (b^2)^3 might seem intimidating at first glance, especially when trying to understand it without exponents. However, breaking it down into smaller steps reveals its simplicity. Let's explore what this expression truly represents:
1. The Base and its Exponent:
- b^2 means 'b multiplied by itself twice': b * b
- 3 is the exponent, indicating how many times the base (b^2) should be multiplied by itself.
2. Expanding the Expression:
- (b^2)^3 is equivalent to (b^2) * (b^2) * (b^2)
3. Simplifying the Multiplication:
- Expanding further, we get: (b * b) * (b * b) * (b * b)
- This simplifies to b * b * b * b * b * b
4. The Final Result:
- Therefore, (b^2)^3 without exponents is simply b multiplied by itself six times.
Key Takeaway: The expression (b^2)^3 is a compact way of representing multiple multiplications. By understanding the fundamental meaning of exponents, we can easily decipher and simplify such expressions.