How do you rewrite $$n^{\frac{5}{3}}$$ ?

$$\text{The correct rewrite is } \, \sqrt[3]{n^5}$$ .

How do you rewrite $$n^{\frac{2}{5}}$$ ?

$$\text{The correct rewrite is } \, \sqrt[5]{n^2}$$ .

What is the first step to solve $$\text{ } \, \sqrt[3]{n+3}=5$$ ?

$$\text{The first step is to cube both sides.}$$

What is the relationship between exponents and roots?

The exponent indicates how many times to multiply the base, while the root indicates the degree of the root being taken.

What is $$\text{ } \sqrt[3]{x^3}$$ ?

x, because the cube root of x cubed is x.

What is the value of $$\text{ } 3^{3} + 2^{3}$$ ?

35, because 3 3 = 27 and 2 3 = 8.

What does it mean for a number to be a perfect cube?

It means that the number can be expressed as the cube of an integer.

How do you express $$n^{\frac{1}{3}}$$ in radical form?

$$\text{It can be expressed as } \sqrt[3]{n}$$ .

Perfect Cubes Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a perfect cube?

Back

A perfect cube is a number that can be expressed as the cube of an integer. For example, 1, 8, and 27 are perfect cubes because they can be written as 1^3, 2^3, and 3^3 respectively.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Calculate 2³.

Back

8

6.

FLASHCARD QUESTION

Front

Calculate 6³.

Back

216

7.

FLASHCARD QUESTION

Front

What is the cube root of 27?

Back

3, because 3³ = 27.

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