%5E5-simplified.jpeg "(4^3)^5 Simplified")
Simplifying (4^3)^5
In mathematics, simplifying expressions involves reducing them to their simplest form. Let's look at how to simplify the expression (4^3)^5.
Understanding the Properties of Exponents
The key to simplifying this expression lies in understanding the properties of exponents. Here's the relevant property:
(a^m)^n = a^(m*n)
This property tells us that when raising a power to another power, we can multiply the exponents.
Applying the Property
Let's apply this property to our expression:
(4^3)^5 = 4^(3*5)
Simplifying further:
4^(3*5) = 4^15
Final Result
Therefore, the simplified form of (4^3)^5 is 4^15.
While we can leave the answer as 4^15, it's possible to calculate its actual value, which is a very large number. However, for most purposes, leaving the answer in exponential form is sufficient and often preferred.