Question

By what number should (-3/2)-3 be divided so that the quotient is (-8/27)-2

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

$Required\:number\:\left(\frac{-8}{27}\right)^{3}$

Step-by-step explanation:

$Let \: \left(\frac{-3}{2}\right)^{-3}be \:divided\\by\: x \: so\:that \: the\: quotient \\is \:\left(\frac{-8}{27}\right)^{-2}$

$\left(\frac{-3}{2}\right)^{-3}\div x = \left(\frac{-8}{27}\right)^{-2}$

$\left(\frac{-3}{2}\right)^{-3}\div \left(\frac{-8}{27}\right)^{-2}=x$

$\left(\frac{-2}{3}\right)^{3}\times \left(\frac{-8}{27}\right)^{2}=x$

$\left(\frac{-8}{27}\right)^{1}\times \left(\frac{-8}{27}\right)^{2}=x$

$\left(\frac{-8}{27}\right)^{1+2}=x$

Therefore,

$x=\left(\frac{-8}{27}\right)^{3}$

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