First question.

A. -3/4 not equal to (3/4)^-1 = 4/3

B. 3^-1/4^-1 = 4/3 not equal to (4/3)^-1 = 3/4

C. 3^-1/4 = 1/12 not equal to 3/4^-1 = 12

D. 3^-1/4^-1 = 4/3 and (3/4)^-1 = 4/3, so this one is correct.

2nd question.

12m^2 + 16mn – 35n^2 = (2m + 5n)(6m – 7n)

(trial & error, don’t know what method you are using)

ok, you do ought to do 3/4-a million/2 first. the straightforward denominator is 4, so which you alter the a million/2 to 2/4 (they are the comparable element, regardless of the undeniable fact that this is greater handy to subtract 2/4 from 3/4). so, 3/4-2/4–that’s person-friendly–is a million/4. after that, you’re think to multiply the respond by ability of a 0.5. remember “please excuse my costly aunt sally?” (parenthesis, exponents, multiply, divide, upload, then subtract) you’re think to multiply till now you upload or subtract. so which you do no longer do 2/3-a million/2 till now you multiply. so, a million/2(a million/4) is a million/8 b/c you multiply the numerators at the same time and the denominators at the same time. so, now you do the two/3-a million/8 through fact this is in parenthesis. the straightforward denominator is 24 considering it truly is the smallest quantity that the two 3 and eight can frivolously divide into. so, you alter 2/3 to sixteen/24 on account so which you are able to multiply 3 by ability of 8 to get 24 and you ought to multiply the numerator by ability of 8 too to get a fragment it truly is comparable to 2/3. you multiply the perfect and backside numbers of a million/8 to get 3/24. Now you have sixteen/24-3/24 that’s 13/24. multiply the perfect by ability of -3 and the backside by ability of 5 and get -39/a hundred and twenty.

I dont know what the ^ means…sorry