# If x^3=-27,then what is x?

Apr 23, 2018

$x = - 3$

#### Explanation:

${x}^{3} = - 27$
${x}^{3} = - {3}^{3}$
$x = - 3$

Apr 23, 2018

$x = - 3$

#### Explanation:

We can take the cube root of both sides, which is the same as raising both sides to the $\frac{1}{3}$ power. Thus, we have:

$x = \sqrt[3]{- 27}$

which evaluates to

$x = - 3$ (the number in the radical is negative, and we have an odd-numbered root, so our answer must be negative).

If you can solve ${x}^{3} = 27$, you can easily find ${x}^{3} = - 27$, because the only thing that'll change is the sign of the answer. It will become negative.

Hope this helps!
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