Understanding (y^2)^3 without Exponents
The expression (y^2)^3 represents a power raised to another power. To understand it without exponents, we need to break it down into simpler terms.
What does (y^2) mean?
- y^2 means y multiplied by itself twice: y * y.
What does (y^2)^3 mean?
- (y^2)^3 means (y^2) multiplied by itself three times: (y^2) * (y^2) * (y^2)
Expanding the expression
Now, let's substitute the expanded form of y^2:
- (y * y) * (y * y) * (y * y)
Finally, we can see that this is simply y multiplied by itself six times:
- y * y * y * y * y * y
Conclusion
Therefore, (y^2)^3 without exponents is equivalent to y multiplied by itself six times, which can also be written as y * y * y * y * y * y.