Please use brackets to make the expression clearer. The first term can be interpreted as 6^(x/2) or (6^x)/2 and it's very confusing.
If I interpreted it correctly as 6^(x/2), then multiplying each term with a common term of x, you can simply add the powers. So e.g. axm∗bxn=a∗b∗xm∗xn=ab∗xm+n
After looking at the picture, just do what I said for the numerator. Then use similar law of indices to divide the numerator by the denomator: bxnaxm=ba∗xnxm=b(xn−m)aorba(xm−n)
Notice how the negative exponent on the 27 is equal to the exponent of the 32, you can just manipulate and it use your law of indices to simplify, for example 62x4−2x=62x42x1=242x1 For the numbers which have the exact same exponent in the the numerator and denominator, you can use your laws to simplify, for example 323x163x=(3216)3x=(21)3x
That is all you will need, well the way i solved the question is by using those two tricks , post your working here if you are stuck
Notice how the negative exponent on the 27 is equal to the exponent of the 32, you can just manipulate and it use your law of indices to simplify, for example 62x4−2x=62x42x1=242x1 For the numbers which have the exact same exponent in the the numerator and denominator, you can use your laws to simplify, for example 323x163x=(3216)3x=(21)3x
That is all you will need, well the way i solved the question is by using those two tricks , post your working here if you are stuck
i'm getting 12x+11 ? but the answer should just be 12