%5E3-without-exponents.jpeg "(p^2)^3 Without Exponents")
Understanding (p^2)^3 without Exponents
The expression (p^2)^3 might seem intimidating at first, but it's actually quite simple to understand when broken down. Let's explore how to express this without using exponents.
Breaking Down the Exponents
- p^2: This means "p multiplied by itself" (p * p).
- (p^2)^3: This means "p^2 multiplied by itself three times".
Expanding the Expression
We can expand the expression step-by-step:
- (p^2)^3 = (p^2) * (p^2) * (p^2)
- = (p * p) * (p * p) * (p * p)
Now, we have a clear representation of the expression without exponents. It simply means multiplying 'p' by itself six times.
Simplifying the Expression
This can be further simplified as:
= p * p * p * p * p * p
Conclusion
Therefore, (p^2)^3 can be expressed as p multiplied by itself six times without using exponents. This simple breakdown helps visualize the mathematical operation and understand the meaning of the expression.