Question

How to apply the exponential rule?​

Answer 1

Answer:

$\red {4 \times 36^{\frac{-1}{2}}}\green {= \frac{2}{3}}$

Step-by-step explanation:

$4 \times 36^{\frac{-1}{2}}\\= 4 \times (6^{2})^{\frac{-1}{2}}\\ = 4 \times 6^{ 2 \times \frac{-1}{2}}$

$\boxed { \pink { (a^{m})^{n} = a^{m \times n}}}$

$= 4 \times 6^{-1}$

$= 4 \times \frac{1}{6}$

$\boxed { \pink { a^{-n} = \frac{1}{a^{n}}}}$

$= \frac{2}{3}$

Therefore.,

$\red {4 \times 36^{\frac{-1}{2}}}\green {= \frac{2}{3}}$

•••♪