Question

The value of $\frac{(-7{)}^6}{7^6}$ is .

• A. 0
• B. -1
• C. 2
• D. 1

Answer 1

The correct option is D 1

We know that for non-zero integers $a$ and $b$, and integer $m$,
$\frac{\left(a^m\right)}{\left(b^m\right)}={\left(\frac{a}{b}\right)}^m$
$⟹{\frac{(-7)}{7^6}}^6={(-\frac{7}{7})}^6$
$=(-1{)}^6$
$=1$