Question

Simplify $(\frac{6}{7}{)}^{-2}\times (\frac{7}{6}{)}^{-2}$

• A. $\frac{7}{6}$
• B. 1
• C. $\frac{-6}{7}$
• D. $\frac{6}{7}$

Answer 1

The correct option is B 1

$(\frac{6}{7}{)}^{-2}\times (\frac{7}{6}{)}^{-2}$
$=(\frac{7}{6}{)}^2\times (\frac{6}{7}{)}^2$
$=\frac{7^2}{6^2}\times \frac{6^2}{7^2}=1$