Question

8²x 3‐⁶ x ( 2 ‐³)² answer pls​

Answer 1

Answer: it’s a pleasure to help you friend..

Step-by-step explanation:

$8^{2} * 3^{-6} * (2^{-3})^{2}$ = $8^{2} * 3^{-6} * 2^{-6}$

$8^{2}$ can also be written in the form of $2^{6}$.

= $2^{6} * 3^{-6} * 2^{-6}$

(∵ $a^{m} * b^{m} = ab^{m}$ )

So, = $2^{6} * (3*2)^{-6}$

= $2^{6} * 6^{-6}$

(∵ $a^{-m} = \frac{1}{a^{m} }$ )

So, = $2^{6} * \frac{1}{6^{6} }$

= $2^{6}$ ÷ $6^{6}$ ( by reciprocal )

(∵ $\frac{a^{b} }{c^{b} } = (\frac{a}{c} )^{b}$ )

So, = $(\frac{2}{6} )^{6}$

= $\frac{64}{46656}$

∴ the answer is $\frac{64}{46656}$.

Hope it’s useful friend..

Good luck and have a great day..

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