%5E2.jpeg "(y^3 X 2^5)^2")
Simplifying (y^3 x 2^5)^2
In mathematics, simplifying expressions involves reducing them to their most basic form. Let's break down how to simplify the expression (y^3 x 2^5)^2.
Applying the Exponent Rule
The key to simplifying this expression is understanding the rule of exponents that states: (a^m)^n = a^(m*n).
This means that when raising a power to another power, we multiply the exponents.
Applying the Rule to our Expression
Let's apply this rule to our expression:
(y^3 x 2^5)^2 = y^(32) x 2^(52)
Simplifying Further
Now, we can simplify the exponents:
y^(32) x 2^(52) = y^6 x 2^10
Final Result
Therefore, the simplified form of (y^3 x 2^5)^2 is y^6 x 2^10.
Additional Notes
While this is the simplified form, we can also further express 2^10 as 1024. So, another way to represent the expression is 1024y^6.