%5E2-without-exponents.jpeg "(b^3)^2 Without Exponents")
Understanding (b^3)^2 Without Exponents
The expression (b^3)^2 may seem complex with exponents, but it can be simplified and understood without them. Let's break it down step by step:
What does (b^3) mean?
- b^3 means b multiplied by itself three times: b * b * b
What does (b^3)^2 mean?
- (b^3)^2 means (b^3) multiplied by itself twice: (b * b * b) * (b * b * b)
Expanding the Expression
To eliminate the exponents, we can simply write out the multiplication:
(b * b * b) * (b * b * b)
This represents b multiplied by itself six times:
b * b * b * b * b * b
The Simplified Result
Therefore, (b^3)^2 without exponents is simply b * b * b * b * b * b.
Key Takeaways
- Exponents represent repeated multiplication.
- When raising a power to another power, the exponents are multiplied.
- Understanding the concept of exponents helps you simplify complex expressions.