Question

by what number should minus 3 upon 2 raise to power minus 3 be divided so that the question maybe minus 8 upon 27 raise to power minus 2

Answer 1

Answer:

$\text{The required number is }(\frac{-8}{27})^3$

Step-by-step explanation:

$\text{we have to find the number which when divided by }(\frac{-3}{2})^{-3}\text{ to get the quotient }(\frac{-8}{27})^{-2}$

Let the number be x

A/Q

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

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

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

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

$\text{Hence, the required number is }(\frac{-8}{27})^3$