Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the cube root of $-64$ ? $\newline$ ____

View step-by-step help

View step-by-step help

Cube roots of positive and negative perfect cubes

Full solution

Q. What is the cube root of

-64

?

\newline

____

Concept of Cube Root: Understand the concept of a cube root. $\newline$ The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For the cube root of $-64$ , we are looking for a number that when cubed gives $-64$ .
Determine Cube Root of $-64$ : Determine the cube root of $-64$ . Since $64$ is $4$ cubed ( $4 \times 4 \times 4 = 64$ ), and we are looking for the cube root of $-64$ , we need to consider the negative aspect. The cube root of a negative number is negative, so the cube root of $-64$ is $-4$ because $(-4) \times (-4) \times (-4) = -64$ .

More problems from Cube roots of positive and negative perfect cubes

Question

\sqrt{49}

?

\newline

Posted 7 months ago

Question

Complete the following statement. Use the integers that are closest to the number in the middle.

\newline

<

\sqrt{40}

<

Posted 7 months ago

Question

-\sqrt{64}

\newline

Posted 8 months ago

Question

\sqrt[3]{27}

Posted 7 months ago

Question

Which two integers is

-\sqrt{48}

\newline

\newline

[A]-6 \text{ and } -5

\newline

[B]5 \text{ and } 6

\newline

[C]-7 \text{ and } -6

\newline

[D]6 \text{ and } 7

Posted 6 months ago

Question

Which two integers is

\sqrt[3]{22}

\newline

\newline

[1 \text{ and } 2]

\newline

[15 \text{ and } 16]

\newline

[16 \text{ and } 17]

\newline

[2 \text{ and } 3]

Posted 8 months ago

Question

\newline

(\sqrt{25})^2 = \_\_\_\_\_

Posted 7 months ago

Question

Look at this equation:

\newline

c^3 = 27

\newline

\newline

c

, the cube root of

27

\newline

c =

\newline

Posted 8 months ago

Question

Write the sentence as an equation.

\newline

172

is equal to the quotient of

x

4

\newline

/

) if you want to use a division sign.

\newline

Posted 7 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 28 days ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant