Question

Which of the following statements are true ?

${\left(\frac{-2}{9}\right)}^8÷{\left(\frac{-2}{9}\right)}^6=\frac{4}{81}$.

• A. True
• B. False

Answer 1

The correct option is A True

Given; ${\left(\frac{-2}{9}\right)}^8÷{\left(\frac{-2}{9}\right)}^6=\frac{4}{81}$.

We know that

${\mathrm{a}}^{\mathrm{m}}÷{\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}-\mathrm{n}}$

Now,

LHS $={\left(\frac{-2}{9}\right)}^8÷{\left(\frac{-2}{9}\right)}^6$

$$\begin{gathered} ={\left(\frac{-2}{9}\right)}^{8-6} \\ ={\left(\frac{-2}{9}\right)}^2 \\ =\frac{-2}{9}\times \frac{-2}{9} \\ =\frac{4}{81} \end{gathered}$$

= RHS

Hence, given statement is true.