(a^8)^4

less than a minute read Jun 16, 2024
(a^8)^4

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.

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