Question

by what number should (-3/2)^-4 be divided to get (-2/3)^3

Answer 1

-2/3 i think right answer

Answer 2

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$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!!}}}$


Here is your answer.

Let the number is x
ATQ
$( - \frac{3}{2} ) {}^{ - 4} \div x = ( - \frac{2}{3} ) {}^{3} \\ \\ x = ( - \frac{3}{2} ) {}^{ - 4} \div ( - \frac{2}{3} ) {}^{3} \\ \\ x = ( - \frac{3}{2} ) {}^{ - 4} \times ( - \frac{3}{2} ) {}^{3} \\ \\ x = ( - \frac{3}{2} ) {}^{ - 4 + 3} \\ \\ x = ( - \frac{3}{2} ) {}^{ - 1} \\ \\ x = ( - \frac{2}{3} ) {}^{1} \\ \\ x = - \frac{2}{3}$

Hope it helps you

@ MSD