Question

please help me with this math sum

Answer 1

$\large\boxed{\mathtt\green{REFER\:TO\:THE\: ABOVE}}$

$\large\boxed{\mathtt\green{ATTACHMENT\:↑}}$

Answer 2

Answer 4:

${(a + b)}^{ - 1} ( {a}^{ - 1} + {b}^{ - 1} ) = ( {ab)}^{ - 1}$

$\frac{1}{a + b} \: \frac{1}{a} + \frac{1}{b} = \frac{1}{ab}$

$\frac{1}{a + b} \: \frac{a + b}{ab} = \frac{1}{ab}$

$\frac{a + b}{ab(a + b)} = \frac{1}{ab}$

$a + b = a + b$ ✓

L.H.S=R.H.S, Hence Proved

Answer 5:

$[ \frac{ {x}^{m} }{ {x}^{n} } ]^{l} \: [ \frac{ {x}^{n} }{ {x}^{l} } ]^{m} \: [ \frac{ {x}^{l} }{ {x}^{m} } ]^{n } = 1$

$\frac{ {x}^{ml} }{ {x}^{nl} } \: \frac{ {x}^{nm} }{ {x}^{lm} } \: \frac{ {x}^{ln} }{ {x}^{mn} } = 1$

${x}^{ml - ml} \: {x}^{nm - nm} \: {x}^{ln - ln} = 1$

X° X° X°=1

1×1×1=1

1=1 ✓

L. H. S=R.H.S, Hence proved