Here are the essential concepts you must grasp in order to answer the question correctly.
Exponents and Powers
Exponents represent repeated multiplication of a base number. In the expression y^(5/8), the exponent 5/8 indicates that y is multiplied by itself 5/8 times, which can be interpreted as the eighth root of y raised to the fifth power. Understanding how to manipulate exponents is crucial for simplifying expressions and performing operations like multiplication and division.
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Factoring Expressions
Factoring involves rewriting an expression as a product of its factors. In the given expression, y^(5/8) can be factored out from both terms in the parentheses, y^(3/8) and -10y^(11/8). This process simplifies the expression and makes it easier to work with, especially when solving equations or finding products.
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Polynomial Operations
Polynomial operations include addition, subtraction, multiplication, and division of polynomial expressions. In this case, the expression involves multiplying a monomial (y^(5/8)) by a polynomial (y^(3/8) - 10y^(11/8)). Understanding how to perform these operations is essential for simplifying and solving algebraic expressions effectively.
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Performing Row Operations on Matrices