In my math book there is a question: -25^3/2 and (-27)^4/3.

I would think it is impossible to take roots of a negative but my math book apparently says that the answer is -125 and 81.

Can you help me understand this?

In my math book there is a question: -25^3/2 and (-27)^4/3.

I would think it is impossible to take roots of a negative but my math book apparently says that the answer is -125 and 81.

Can you help me understand this?

I would think it is impossible to take roots of a negative but my math book apparently says that the answer is -125 and 81.

Can you help me understand this?

- stapel_eliz
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monjinho wrote:In my math book there is a question: -25^3/2 and (-27)^4/3.

I would think it is impossible to take roots of a negative but my math book apparently says that the answer is -125 and 81.

Can you help me understand this?

Had the first expression been "(-25)

For the second expression, you're taking the cube root, so the negative doesn't matter (even if you hadn't been applying an even power first).