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  "body": "\n## Statement\n\nFor all real numbers $a$ and $b$, $|a b| = |a| \\, |b|$.\nHere $|\\cdot|$ is the [[absolute value|00S7C68D51]].\n\n## Remarks\n\nProof: check the four cases of the signs of $a$ and $b$.\nIn particular $|a^n| = |a|^n$ for each natural number $n$, and $|a / b| = |a| / |b|$ for $b \\neq 0$.\nThe [[modulus of complex numbers|0HYNZE940T]] is also multiplicative.\n\n## Explanations\n\n### L1 human\n\nYou can take the absolute value before or after a product, and you get the same result.\nFor example, $|(-2) \\cdot 3| = |-6| = 6$ and $|-2| \\cdot |3| = 2 \\cdot 3 = 6$.\n",
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