Simplifying (a⁸)⁴
In mathematics, simplifying expressions is a crucial skill. One common type of expression involves exponents raised to another exponent. Let's take a closer look at (a⁸)⁴.
Understanding the Rules
The key to simplifying this expression lies in understanding the power of a power rule:
(a^m)^n = a^(m*n)
This rule states that when raising a power to another power, we simply multiply the exponents.
Applying the Rule
Let's apply this rule to our expression:
(a⁸)⁴ = a^(8*4)
Final Result
Performing the multiplication, we get:
(a⁸)⁴ = a³²
Therefore, the simplified form of (a⁸)⁴ is a³².