QuestionSelect the numeric expression: negative eight cubed, $(-8)^{3}$ , or the third root of negative eight?

Studdy Solution

STEP 1

Assumptions1. The expressions are written in standard mathematical notation. . The operations are performed according to the order of operations (PEMDAS/BODMAS).
3. The cube of a number is the number multiplied by itself twice.
4. The square of a number is the number multiplied by itself once.
5. The third root of a number is the number that, when multiplied by itself twice, gives the original number.

STEP 2

Let's start by determining the mathematical expression for each phrase.
The phrase "negative eight cubed" means -8 multiplied by itself twice. In mathematical notation, this is written as $(-8)^{}$

STEP 3

The phrase "eight cult $=d$ " is not a standard mathematical expression and does not make sense in this context. We can ignore this option.

STEP 4

The phrase "negative eight to the square of eight cubed" means -8 raised to the power of the square of8 cubed. In mathematical notation, this is written as $(-8)^{(8^{3})^{2}}$

STEP 5

The expression " $(-8)^{3}$ " is already in mathematical notation and represents -8 cubed.

STEP 6

The phrase "the third root of negative eight" means the number that, when multiplied by itself twice, gives -8. In mathematical notation, this is written as $\sqrt[3]{-8}$

STEP 7

Now, let's compare these expressions to the original phrase "negative eight cubed".The mathematical expression for "negative eight cubed" is $(-)^{3}$ .So, the correct numeric expression for the phrase "negative eight cubed" is $(-)^{3}$ .

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QuestionSelect the numeric expression: negative eight cubed, $(-8)^{3}$ , or the third root of negative eight?

Studdy Solution

STEP 1

STEP 2

Let's start by determining the mathematical expression for each phrase.
The phrase "negative eight cubed" means -8 multiplied by itself twice. In mathematical notation, this is written as $(-8)^{}$

STEP 3

The phrase "eight cult $=d$ " is not a standard mathematical expression and does not make sense in this context. We can ignore this option.

STEP 4

The phrase "negative eight to the square of eight cubed" means -8 raised to the power of the square of8 cubed. In mathematical notation, this is written as $(-8)^{(8^{3})^{2}}$

STEP 5

The expression " $(-8)^{3}$ " is already in mathematical notation and represents -8 cubed.

STEP 6

The phrase "the third root of negative eight" means the number that, when multiplied by itself twice, gives -8. In mathematical notation, this is written as $\sqrt[3]{-8}$

STEP 7

Now, let's compare these expressions to the original phrase "negative eight cubed".The mathematical expression for "negative eight cubed" is $(-)^{3}$ .So, the correct numeric expression for the phrase "negative eight cubed" is $(-)^{3}$ .

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QuestionSelect the numeric expression: negative eight cubed, (−8)3(-8)^{3}(−8)3, or the third root of negative eight?

Studdy Solution

STEP 1

STEP 2

Let's start by determining the mathematical expression for each phrase.The phrase "negative eight cubed" means -8 multiplied by itself twice. In mathematical notation, this is written as(−8)(-8)^{}(−8)

STEP 3

The phrase "eight cult =d=d=d" is not a standard mathematical expression and does not make sense in this context. We can ignore this option.

STEP 4

The phrase "negative eight to the square of eight cubed" means -8 raised to the power of the square of8 cubed. In mathematical notation, this is written as(−8)(83)2(-8)^{(8^{3})^{2}}(−8)(83)2

STEP 5

The expression "(−8)3(-8)^{3}(−8)3" is already in mathematical notation and represents -8 cubed.

STEP 6

The phrase "the third root of negative eight" means the number that, when multiplied by itself twice, gives -8. In mathematical notation, this is written as−83\sqrt[3]{-8}3−8​

STEP 7

Now, let's compare these expressions to the original phrase "negative eight cubed".The mathematical expression for "negative eight cubed" is (−)3(-)^{3}(−)3.So, the correct numeric expression for the phrase "negative eight cubed" is (−)3(-)^{3}(−)3.

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QuestionSelect the numeric expression: negative eight cubed, $(-8)^{3}$ , or the third root of negative eight?

Let's start by determining the mathematical expression for each phrase.
The phrase "negative eight cubed" means -8 multiplied by itself twice. In mathematical notation, this is written as $(-8)^{}$

The phrase "eight cult $=d$ " is not a standard mathematical expression and does not make sense in this context. We can ignore this option.

The phrase "negative eight to the square of eight cubed" means -8 raised to the power of the square of8 cubed. In mathematical notation, this is written as $(-8)^{(8^{3})^{2}}$

The expression " $(-8)^{3}$ " is already in mathematical notation and represents -8 cubed.

The phrase "the third root of negative eight" means the number that, when multiplied by itself twice, gives -8. In mathematical notation, this is written as $\sqrt[3]{-8}$

Now, let's compare these expressions to the original phrase "negative eight cubed".The mathematical expression for "negative eight cubed" is $(-)^{3}$ .So, the correct numeric expression for the phrase "negative eight cubed" is $(-)^{3}$ .