What is the cube root of \(-512\)?
Answer (2)
3 − 512 = − 3 512 = − 3 2 9 = − 3 2 3 × 3 = − 3 ( 2 3 ) 3 = − 2 3 = − 8
The cube root of -512 is -8, as the cube root of a negative number is also negative. Specifically, we find that 3 − 512 = − 8 through mathematical properties of exponents. This result shows the value that when multiplied by itself three times equals -512.
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