Question

find the answer......​

Answer 1

Answer:

m=2

Step-by-step explanation:

$a ^{m} \div a^{n} =a ^{m - n} \\ 6 ^{m} \div 6 ^{ - 3} = 6^{5} \\ 6 ^{m - ( - 3)} = 6 ^{5} \\ m + 3 = 5 \\ m = 5 - 3 \\ m = 2 \\ mark \: me \: as \: brainliest$

Answer 2

Solution :-

$6 {}^{m} \div 6 {}^{ - 3} = 6 {}^{5} \\ \\ \\ \frac{6 {}^{m} }{6 {}^{ - 3} } = 6 {}^{5} \\ \\ cross \: multiplication \\ \\ \\ 6 {}^{m} = 6 {}^{5} \times 6 {}^{ - 3} \\ \\ 6 {}^{m} = 6 {}^{2} \\ \\ compare \: the \: powers \\ \\ \\ m = 2 \: \: \: \: \: \: ans$

Formulae used :-

$1) \: \: x {}^{a} \times x {}^{b} = x {}^{a + b} \\ \\ \\ 2) \: \: x {}^{a} = x {}^{b} \\ \: \: \: \: \: \: \: \: a = b$