%5E3-solve.jpeg "(2y)^3 Solve")
Solving (2y)^3
In this article, we will discuss how to solve the expression (2y)^3. This expression involves a combination of exponentiation and algebra, and it's an essential skill to have in mathematics.
The Formula
To solve (2y)^3, we need to use the exponent rule of a^(mn) = (a^m)^n. In this case, a = 2y, m = 1, and n = 3.
(2y)^3 = (2^1 * y^1)^3
Using the exponent rule, we can expand the expression as follows:
(2y)^3 = 2^3 * y^3
Simplifying the Expression
Now, we can simplify the expression by evaluating the exponents:
2^3 = 8
y^3 = y * y * y
So, the final solution is:
(2y)^3 = 8y^3
Example
Let's say we want to find the value of (2y)^3 when y = 4. We can plug in the value of y into the expression:
(2(4))^3 = 8(4)^3
(2(4))^3 = 8(64)
(2(4))^3 = 512
Therefore, the value of (2y)^3 when y = 4 is 512.
Conclusion
In this article, we have learned how to solve the expression (2y)^3 using the exponent rule. We have also seen how to simplify the expression and evaluate it for a given value of y. This skill is essential in algebra and will help you to solve more complex expressions in the future.
