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Simplifying the Expression (4x⁴y³) (4x⁴)
This article will guide you through simplifying the algebraic expression (4x⁴y³) (4x⁴).
Understanding the Basics
- Exponents: In the expression, we have exponents like x⁴ and y³. An exponent indicates how many times a base number is multiplied by itself. For example, x⁴ means x multiplied by itself four times (x * x * x * x).
- Coefficients: The numbers 4 and 4 in the expression are called coefficients. They are multiplied by the variables.
- Multiplication of Variables: When multiplying variables with the same base, we add their exponents. For example, x⁴ * x² = x⁶.
Simplifying the Expression
- Multiply the coefficients: (4 * 4) = 16
- Multiply the x terms: (x⁴ * x⁴) = x⁸. Remember, we add the exponents.
- Combine the results: The simplified expression is 16x⁸y³.
Final Answer
Therefore, the simplified form of the expression (4x⁴y³) (4x⁴) is 16x⁸y³.