%5E4-without-exponents.jpeg "(2y)^4 Without Exponents")
Understanding (2y)^4 without Exponents
The expression (2y)^4 involves an exponent, but we can expand it to express it without exponents.
Breaking Down the Exponent
An exponent, like the '4' in this case, tells us how many times we need to multiply the base by itself. Here, our base is (2y).
Expanding the Expression
Let's break down the expansion:
- (2y)^4 means we multiply (2y) by itself four times:
- (2y) * (2y) * (2y) * (2y)
Simplifying the Multiplication
Now, let's multiply each term:
- 2 * 2 * 2 * 2 = 16
- y * y * y * y = y^4
The Final Result
Putting it all together, we get:
(2y)^4 = 16y^4
This shows that (2y)^4 can be expressed as 16y^4 without using exponents.