Question

simplifyand give reason (5/6)³ ×(6/5) power-⁸​

Answer 1

Step-by-step explanation:

${ (\frac{5}{6} )}^{3} \times { (\frac{6}{5} )}^{ - 8}$

${( \frac{5}{6} )}^{3} \times { (\frac{5}{6}) }^{8}$

$(\frac{5}{6} )^{3 + 8} = { (\frac{5}{6} )}^{11}$

FORMULAE

$(\frac{a}{b} )^{ - m} = ( \frac{b}{a} ) ^{m}$

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

Answer 2

Answer:-

$\tt\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\frac{5}{6} }^{3} \times { \frac{6}{5} }^{ - 8}$

$\tt\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = { \frac{5}{6} }^{3} \times { \frac{5}{6} }^{ 8}$

$\tt\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( \frac{5}{6}) ^{3 + 8}$

$\tt\underline\red \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( \frac{5}{6}) ^{11}$