Question

$\sf By \: what \: number \: should( { \frac{ - 4}{7} })^{ - 1} \\ \sf \: \ \textless \ br /\ \textgreater \ be \: divided \: so \: that \: the \: quotient \\ \sf \: may \: be \: ( { \frac{ - 8}{7} })^{ - 1}?\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater$
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Answer 1

Hey mate!

The clear question is in the attachment!

Steps solution in attachment 2

Extra information:

=>Exponentiation is a mathematical operation, written in square form

For example x³ cube is exponent.

Answer 2

Question :-

By what number should $\rm \big(\frac{ - 4}{7}^{-1}\big)$ be divided so that the quotient may be $\rm \big(\frac{ - 8}{7}^{-1}\big)$ ?

Answer :-

Let the number be x

➩ $\rm \dfrac{\Big(\dfrac{ - 4}{7}\Big)^{-1}}{x} = \Big(\dfrac{ - 8}{7}^{-1}\Big)$

➩ $\rm \dfrac{ \dfrac{ \cancel {-} 7}{4} }{x} = \dfrac{ \cancel {-}7}{8}$

➩ $\rm \dfrac{ \dfrac{ \cancel {7}}{4} }{x} = \dfrac{ \cancel {7}}{8}$

➩ $\rm \dfrac{\dfrac{1}{4}}{x} = \dfrac{1}{8}$

➩ $\rm 4x = 8$

➩ $\rm x = \dfrac{8}{4}$

➩ $\boxed{\rm x = 2}$