Q3) Simplify, giving solutions with positive index:
(i)2b^6.b^3.5b^4
(ii)x^2y^3.\ 6x^5y.\ 9x^3y^4
(iii)\left(-a^5\right)\ \left(a^2\right)
(iv)\left(-y^2\right)\ \left(-y^3\right)
(v)\left(-3\right)^2\ \left(3\right)^2
(vi)\left(-4x\right)\ \left(-5x^2\right)
(vii)\left(5a^2b\right)\ \left(2ab^2\right)\left(a^3b\right)
(viii)x^{2a+7}.\ x^{2a-8}
(ix)3^y.\ 3^2.\ 3^{-4}
(x)2^{4a}\ .\ 3^{3a}.\ 2^{-a}
(xi)4x^2y^2\div9x^3y^3
(xii)\left(10^2\right)^3\left(x^8\right)^{12}
(xiii)\left(a^{10}\right)^{10}\ \left(1^6\right)^{10}
(xiv)\left(n^2\right)^2-\left(-n^2\right)^2
(xv)-\left(3ab\right)^2\ \left(-5a^2bc^4\right)^2
(xvi)\left(-2\right)^2\times\left(0\right)^3\times\left(3\right)^3
(xvii)\left(2a^3\right)^4\left(4a^2\right)^2
(xviii)\left(4x^2y^3\right)^3\div\left(3x^2y^3\right)^3
(xix)\left(\frac{1}{2x}\right)^3\times\left(6x\right)^2
(xx)\left(\frac{1}{4ab^2c}\right)^{^2}\div\left(\frac{3}{2a^2bc^2}\right)^4
(xxi)\frac{\left(5x^7\right)^3.\left(10x^2\right)^2}{\left(2x^6\right)^7}
(xxii)\frac{\left(7p^2q^9r^5\right)^2\left(4pqr\right)^3}{\left(14p^6q^{10}r^4\right)^{^2}}