%5E4-without-exponents.jpeg "(2p)^4 Without Exponents")
Understanding (2p)^4 without Exponents
The expression (2p)^4 represents the multiplication of (2p) by itself four times.
Expanding the Expression
To understand this without exponents, let's break it down:
- (2p)^4 = (2p) * (2p) * (2p) * (2p)
Now, we can use the distributive property of multiplication to expand the expression:
- (2p) * (2p) * (2p) * (2p) = (2 * 2 * 2 * 2) * (p * p * p * p)
Simplifying the Expression
Finally, we can simplify the expression by performing the multiplications:
- (2 * 2 * 2 * 2) * (p * p * p * p) = 16 * p^4
Therefore, (2p)^4 is equivalent to 16p^4. This represents multiplying the variable 'p' by itself four times and then multiplying the result by 16.
Key Takeaway
While exponents provide a concise way to represent repeated multiplication, understanding the underlying concept of multiplying a term by itself multiple times is crucial for understanding more complex algebraic expressions.