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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Had the first expression been "(-25)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?

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).