Question

By what number should (-12)^-1 be divided to get (2/3)^-1 by using laws of exponoents

Answer 1

${ - 12}^{ - 1} \div x = {( \frac{2}{3}) }^{ - 1} \\ \frac{1}{ - 12} \div x = \frac{3}{2} \\ x = \frac{3}{2} \times \frac{ - 12}{1} \\ x = \frac{ - 36}{2} \\ x = - 18$

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