Please help me simplify this and show full working out. (a) (2x^3 divide 3y^4)^2 multiply (x divide 3y)^-2 (b) a-a^-1 divide a^2 - 1 (c) 3^a+2 times 9^2a+1 divide by 6^2 times 3^5a+3

Answer 1

(2x^3/3y^4)^2 * (x/3y)^-2
4x^6/9y^8 * 9y^2/x^2
4x^4/y^6

(a - 1/a) / (a^2-1)
((a^2-1)/a) / (a^2-1)
1/a

3^(a+2) 9^(2a+1) / 6^2 3^(5a+3)
3^(a+2) 3^(4a+2) / 2^2 3^2 3^(5a+3)
3^(5a+4) / 4*3^(5a+5)
1/12