(x^4)^2 Without Exponents

2 min read Jun 17, 2024
(x^4)^2 Without Exponents

Understanding (x^4)^2 without Exponents

The expression (x^4)^2 can seem intimidating at first glance, but it becomes much simpler when we understand the fundamentals of exponents. Let's break it down step-by-step:

What are exponents?

Exponents are a shorthand way of representing repeated multiplication. In the expression x^n, 'x' is the base and 'n' is the exponent. This represents 'x' multiplied by itself 'n' times. For example, x^3 = x * x * x.

Applying the rules of exponents

When we have an exponent raised to another exponent, as in (x^4)^2, we can simplify it using the rule of power of a power. This rule states that (x^m)^n = x^(m*n).

Simplifying (x^4)^2

Following the rule of power of a power, we can simplify (x^4)^2 as:

(x^4)^2 = x^(4*2) = x^8

Final Answer

Therefore, (x^4)^2 is equivalent to x^8. This means we multiply 'x' by itself 8 times.

Without exponents, this expression would be written as: x * x * x * x * x * x * x * x.

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