Question

Math

Posted 5 months ago

```
What is the value of the following expression?
$\sqrt[3]{-343}$
$-49$
7
$-7$
49
```

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Answer from Sia

Posted 5 months ago

Solution by Steps

step 2

The cube root of $-343$ is calculated as follows: $\sqrt[3]{-343} = -\sqrt[3]{343}$

step 3

Since $343 = 7^3$, we have $\sqrt[3]{343} = 7$

step 4

Therefore, $\sqrt[3]{-343} = -7$

C

Key Concept

Cube Root of a Negative Number

Explanation

The cube root of a negative number is the negative of the cube root of the absolute value of that number.

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