rational exponents

rational exponents

Assessment

Flashcard

Mathematics

9th - 11th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What are rational exponents?

Back

Rational exponents are exponents that can be expressed as a fraction, where the numerator is an integer and the denominator is a positive integer. For example, x^(1/2) is a rational exponent.

2.

FLASHCARD QUESTION

Front

How do you convert a rational exponent to radical form?

Back

To convert a rational exponent to radical form, use the formula a^(m/n) = n√(a^m), where 'm' is the numerator and 'n' is the denominator.

3.

FLASHCARD QUESTION

Front

What is the simplified form of (x^(1/2))^2?

Back

The simplified form is x.

4.

FLASHCARD QUESTION

Front

What is the value of 8^(1/3)?

Back

The value of 8^(1/3) is 2.

5.

FLASHCARD QUESTION

Front

How do you simplify (a^(m/n))^p?

Back

To simplify (a^(m/n))^p, multiply the exponents: a^(m/n * p).

6.

FLASHCARD QUESTION

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents represent roots; for example, x^(1/n) represents the n-th root of x.

7.

FLASHCARD QUESTION

Front

Simplify the expression (64x^7)^(1/3).

Back

The simplified expression is 4x^2√[3]{x}.

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