Question

please answer me this question simplify bracket open 3 upon 5 bracket close power 4 bracket open 8 upon 5 bracket close power minus 12 bracket open 32 upon 5 bracket close power 6 divide by bracket open 3 power 4 into 5 power 2 upon 2 power 6 bracket close​

Answer 1

Given:

bracket open 3 upon 5 bracket close power 4 bracket open 8 upon 5 bracket close power minus 12 bracket open 32 upon 5 bracket close power 6 divide by bracket open 3 power 4 into 5 power 2 upon 2 power 6 bracket close​

To find:

Simplify the given

Solution:

From given, we have,

bracket open 3 upon 5 bracket close power 4 bracket open 8 upon 5 bracket close power minus 12 bracket open 32 upon 5 bracket close power 6 divide by bracket open 3 power 4 into 5 power 2 upon 2 power 6 bracket close

⇒

$\dfrac{\left(\frac{3}{5}\right)^4\left(\frac{8}{5}\right)^{-12}\left(\frac{32}{5}\right)^6}{\frac{3^4\cdot \:5^2}{2^6}}$

$=\dfrac{\left(\frac{3}{5}\right)^4\left(\frac{8}{5}\right)^{-12}\left(\frac{32}{5}\right)^6\cdot \:2^6}{3^4\cdot \:5^2}$

now consider,

$\left(\frac{3}{5}\right)^4\left(\frac{8}{5}\right)^{-12}\left(\frac{32}{5}\right)^6\cdot \:2^6=\frac{\frac{3^4}{5^4}\cdot \frac{32^6}{5^6}\cdot \:2^6\cdot \:5^{12}}{8^{12}}=\frac{5^{12}\cdot \:32^6\cdot \:2^6\cdot \:3^4}{5^{10}}$

$=\dfrac{2^{36}\cdot \:2025}{8^{12}}\\=\dfrac{2^{36}\cdot \:2025}{2^{36}}$

so, we have,

$=\dfrac{2025}{3^4\cdot \:5^2}$

$=\dfrac{3^4\cdot \:5^2}{3^4\cdot \:5^2}$

$=1$

Answer 2

Answer:

sorry I didn't know that answer