Question

pls answer it fast need correct answer​

Answer 1

hope this help......

Answer 2

GIVEN :-

$\rm{( - 5) ^{m - 1} } \: \div ( - 5) = ( - 5) ^{ - </u><u>8</u><u>}$

TO FIND :-

$\rm{ value \: of \: m \: }$

SOLUTION :-

$\implies \: \rm{( - 5) ^{m - 1} } \: \div ( - 5) = ( - 5) ^{ - </u><u>8</u><u>}$

$\implies\rm{ \frac{( - 5) ^{m - 1}} {( - 5) ^{2} \: \: \: \: } = ( - 5) ^{ - </u><u>8</u><u>} }$

$\implies$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ \boxed{ { \frac{ {a}^{m} }{ {a}^{n} } \: = \: a ^{m - n} }}}$

$\implies \rm{ ({ - 5})^{m - 1 - 2} } = ( - {5})^{ - </u><u>8</u><u>}$

$\implies \rm{ ({ - 5})^{m - 3} } = ( - {5})^{ - </u><u>8</u><u>}$

$\implies \rm{ m \: - 3 = - </u><u>8</u><u>}$

$\implies \boxed{ \boxed { \rm { m \: = </u><u>-</u><u>5</u><u>}}}$

OTHER INFORMATION

Basic formulas in Powers and Roots

Some basic formulas used to solve questions on exponents are

• (am)n = (an)m = amn

• am.an = am+n

• a-m = 1/am

• am/an = am-n = 1/an-m

• (ab)n = anbn

• (a/b)n = an/bn

• aⁿ = 1 ( where n = 0 )