Find the value of:

Question:

Find the value of:

(i) $\left(\frac{5}{8}\right)^{-1}$

(ii) $\left(\frac{-4}{9}\right)^{-1}$

(iii) $(-7)^{-1}$

(iv) $\left(\frac{1}{-3}\right)^{-1}$

 

Solution:

We know that $a^{-1}=\frac{1}{a}$ or $a^{-1} \times a=1$

(i) $\left(\frac{5}{8}\right)^{-1}=\frac{8}{5}$

$\because \frac{5}{8} \times\left(\frac{5}{8}\right)^{-1}=1$

(ii) $\left(\frac{-4}{9}\right)^{-1}=\frac{9}{-4}=\frac{-9}{4}$

$\because \frac{-4}{9} \times\left(\frac{-4}{9}\right)^{-1}=1$

(iii) $(-7)^{-1}=\frac{1}{-7}=\frac{-1}{7}$

$\because-7 \times(-7)^{-1}=1$

(iv) $(-3)^{-1}$

$(-3)^{-1}=\frac{1}{-3}=\frac{-1}{3}$

$\because(-3)^{-1} \times(-3)=1$

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now