What Is X Squared Times X Squared

Michael Sow

less than a minute read

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30-11-2024

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This seemingly simple question delves into the fundamentals of algebra, specifically concerning exponents and their properties. Let's break it down clearly and concisely.

Understanding Exponents

The expression "x squared," denoted as x², means x multiplied by itself: x * x. The small '2' is the exponent, indicating the number of times the base (x) is multiplied.

Multiplying X Squared by X Squared

The problem asks us to find the value of x² * x². To solve this, we can use the properties of exponents. When multiplying terms with the same base (in this case, 'x'), we add the exponents.

Therefore:

x² * x² = x⁽²⁺²⁾ = x⁴

The Solution

x squared times x squared equals x to the power of four (x⁴). This is because we add the exponents when multiplying terms with the same base. It’s a fundamental rule of algebra that simplifies many mathematical expressions.