Question

Can someone olease help me for this!​

Answer 1

Answer:

the fourth option is ✅ correct

(11/12)-7

Answer 2

$\huge{\underline{\bf\red{QuestiØn} :}}$

$\\ { \bigg( \frac{ - 11}{12} \bigg)}^{2} \div { \bigg( \frac{12}{11} \bigg)}^{5} = \underline{ \qquad \qquad} \\ \sf(give \: your \: answer \: in \: exponential \: form)$

• (a) ${ \bigg( \frac{12}{11} \bigg)}^{}$
• (b) ${ \bigg( \frac{11}{12} \bigg)}^{}$
• (c) ${ \bigg( \frac{12}{11} \bigg)}^{7}$
• (d) ${ \bigg( \frac{12}{11} \bigg)}^{ - 7}$ ✅

$\huge{\underline{\bf\blue{SolutiØn}\ :}}$

$\red{(d)}\blue{\underline{\bf\green{\quad { \bigg( \frac{12}{11} \bigg)}^{ - 7} \quad}}}$

We have,

$\begin{aligned} \\ & \quad \ { \bigg( \frac{ - 11}{12} \bigg)}^{2} \div { \bigg( \frac{12}{11} \bigg)}^{5} \\ \\ & = { \bigg( \frac{ - 12}{11} \bigg)}^{ - 2} \div { \bigg( \frac{12}{11} \bigg)}^{5} \\ \\ & = {( - 1)}^{ - 2}.{ \bigg( \frac{12}{11} \bigg)}^{ - 2} \div { \bigg( \frac{12}{11} \bigg)}^{5} \\ \\ & =1 \times { \bigg( \frac{12}{11} \bigg)}^{ - 2} \div { \bigg( \frac{12}{11} \bigg)}^{5} \\ \\ & = { \bigg( \frac{12}{11} \bigg)}^{ - 2} \div { \bigg( \frac{12}{11} \bigg)}^{5} \\ \\ & = { \bigg( \frac{12}{11} \bigg)}^{( - 2 - 5)} \\ \\ & = \boxed{ \ \ \bold{ { \bigg( \frac{12}{11} \bigg)}^{ - 7} } } & & & \end{aligned}$

$\red{\rule{5.5cm}{0.02cm}}$

$\Large{ \mid {\underline{\underline{\bf\green{BrainLiest \ AnswEr}}}} \mid }$

please mark as ⤴