Fractional Exponents Revisited Common Core Algebra 2 Homework

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Fractional Exponents Revisited: A Review of Common Core Algebra 2 Concepts

Fractional exponents are a way of writing expressions that involve roots, such as square roots, cube roots, and fourth roots. For example, √x can be written as x, and ∛x can be written as x. In general, √x can be written as x.

Using fractional exponents can make it easier to simplify expressions that involve roots. For example, to simplify √x, we can rewrite it as x, and then use the power rule of exponents to get x = (x) = √x. Similarly, to simplify √x∛x, we can rewrite it as x, and then use the addition rule of exponents to get x = x = x.

In this article, we will review some of the concepts and skills related to fractional exponents that are covered in Common Core Algebra 2. We will also provide some examples and exercises for you to practice.

Properties of Fractional Exponents

Fractional exponents follow the same properties as integer exponents, such as the product rule, the quotient rule, the power rule, the zero exponent rule, and the negative exponent rule. Here are some examples of how to apply these properties:

Product rule: To multiply two expressions with the same base and fractional exponents, we add the exponents. For example, xy can be written as (xy).

Quotient rule: To divide two expressions with the same base and fractional exponents, we subtract the exponents. For example, x/x can be written as x, which simplifies to x.

Power rule: To raise an expression with a fractional exponent to another power, we multiply the exponents. For example, (x) can be written as x, which simplifies to x.

Zero exponent rule: Any expression with a nonzero base and a zero exponent is equal to one. For example, x, (x + y), and (x) are all equal to one.

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