Simplify the expression: $$\frac{3a^{\frac{5}{4}}}{3a^{\frac{1}{2}}b^2\cdot2b^{-\frac{1}{2}}}$$

$$\frac{a^{(3/4)}}{2b^{\frac{3}{2}}}$$

Simplify the expression: $$\left(yx^{\frac{5}{3}}\right)^{\frac{4}{3}}*x^2y^2$$

$$y^{\frac{10}{3}}x^{\frac{38}{9}}$$

Definition: Combining Like Terms

The process of adding or subtracting terms that have the same variable raised to the same power.

Definition: Properties of Exponents

Rules that describe how to handle mathematical operations involving exponents, such as $$a^m \cdot a^n = a^{m+n}$$ .

Definition: Cube Root

A number that produces a given number when cubed, e.g., $$\sqrt[3]{x}$$ .

Definition: Fractional Exponents

Exponents that are fractions, indicating both a root and a power, e.g., $$x^{\frac{1}{2}} = \sqrt{x}$$ .

Definition: Negative Exponents

Indicates the reciprocal of the base raised to the opposite positive exponent, e.g., $$a^{-n} = \frac{1}{a^n}$$ .

Definition: Polynomial Expression

An expression consisting of variables raised to whole number powers and coefficients, e.g., $$3x^2 + 2x + 1$$ .

Definition: Rationalizing the Denominator

The process of eliminating a radical from the denominator of a fraction.

Definition: Factoring Expressions

The process of breaking down an expression into simpler components that can be multiplied to give the original expression.

5.1 and 5.2 Flashcard Review Flashcards

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

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Definition: Rational Exponent

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7.

FLASHCARD QUESTION

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Definition: Simplifying Radicals

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