Question

MILK
2. By what number should (-3/2)^-3
be divided so that the quotient may be(-8/27)^2​

Answer 1

$\huge\boxed{\blue{Solution}}$

$let \: the \: number \: be \: x$

$A/q$

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

$\frac{ - 16}{24} \div x = \frac{ - 64}{729}$

$\frac{ -16}{24} \times \frac{1}{x} \frac{ - 64}{729}$

$\frac{1}{x} = \frac{ - 64}{729} \div \frac{ - 24}{16}$

$\frac{1}{x} = \frac{ - 64}{729} \times \frac{ - 16}{24}$

$\frac{1}{x} = \frac{128}{2187}$

$128x = 2187$

$x = 17.085$

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