Question

Which of the following statements are true ?

${\left(\frac{3}{5}\right)}^2\times {\left(\frac{3}{5}\right)}^3={\left(\frac{3}{5}\right)}^5$.

• A. True
• B. False

Answer 1

The correct option is A True

Given; ${\left(\frac{3}{5}\right)}^2\times {\left(\frac{3}{5}\right)}^3={\left(\frac{3}{5}\right)}^5$.

We know that

${\mathrm{a}}^{\mathrm{m}}\times {\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}+\mathrm{n}}$

Now,

LHS $={\left(\frac{3}{5}\right)}^2\times {\left(\frac{3}{5}\right)}^3$

$$\begin{gathered} ={\left(\frac{3}{5}\right)}^{2+3} \\ ={\left(\frac{3}{5}\right)}^5 \end{gathered}$$

= RHS

Hence, given statement is true.