Converting Rational to Radical

Converting Rational to Radical

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a rational exponent?

Back

A rational exponent is an exponent that can be expressed as a fraction, where the numerator is the power and the denominator is the root. For example, x^(m/n) means the nth root of x raised to the m power.

2.

FLASHCARD QUESTION

Front

How do you convert a radical expression to a rational exponent?

Back

To convert a radical expression to a rational exponent, express the root as a denominator in a fraction. For example, √x = x^(1/2) and ∛x = x^(1/3).

3.

FLASHCARD QUESTION

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents represent roots. For example, x^(1/n) is equivalent to the nth root of x.

4.

FLASHCARD QUESTION

Front

Convert the expression √(xy) to a rational exponent.

Back

(xy)^(1/2)

5.

FLASHCARD QUESTION

Front

Convert the expression ∛(x^2) to a rational exponent.

Back

(x^2)^(1/3)

6.

FLASHCARD QUESTION

Front

What is the general form of converting a radical to a rational exponent?

Back

The general form is: n√(a) = a^(1/n), where n is the degree of the root.

7.

FLASHCARD QUESTION

Front

How do you simplify the expression (x^(1/2))^4?

Back

Using the power of a power property, (x^(1/2))^4 = x^(1/2 * 4) = x^2.

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