Question

please answer the questions​

Answer 1

Answer:

1

Step-by-step explanation:

We have some formulae which we need to apply here. I will say them step by step.

" ^ " this symbol indicates power. Ex: 5^2 means 5 square = 5*5 = 25.

[(x^(m+n) ) * (x^(n+1)) * (x^(1+m))] / (x^m* x^n * x1)^2

We have a formula : a^p * a ^q = a^(p+q). Use this in numerator and denominator

So, [x^(m+n+n+1+1+m)]/[x^(m+n+1)]^2

 = [x^(2m+2n+2)]/[x(m+n+1)]^2

 We have formula : (x^a)^b = x ^(ab).

Use this in denominator :

   [x^(2m+2n+2)]/[x^2(m+n+1)]

 = [x^(2m+2n+2)] / [x^(2m+2n+2)]

 = 1

So the answer is 1.

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Answer 2

$( {x}^{m + n} \times {x}^{n + 1} \times {x}^{1 + m)} \div ( {x}^{m} \times {x}^{n} \times x)^{2} \\ = {x}^{m + n + n + 1 + 1 + m} \div ({x}^{m + n + 1} )^{2} \\ = {x}^{2m + 2n + 2} \div {x}^{2m + 2n + 2}$

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