Simplify and express as positive indices:
(xny−m)4×(x3y−2)−n(x^ny^{-m})^4\times(x^3y^{-2})^{-n}(xny−m)4×(x3y−2)−n
9 Likes
(xny−m)4×(x3y−2)−n=(xny−m)4×(x3y−2)−n=(x4ny−4m)×(x−3ny2n)=(x4n−3ny−4m+2n)=(xny−4my2n)=(xny2ny4m)(x^ny^{-m})^4\times(x^3y^{-2})^{-n}\\[1em] = (x^ny^{-m})^4\times(x^3y^{-2})^{-n}\\[1em] = (x^{4n}y^{-4m})\times(x^{-3n}y^{2n})\\[1em] = (x^{4n-3n}y^{-4m+2n})\\[1em] = (x^{n}y^{-4m}y^{2n})\\[1em] = (\dfrac{x^{n}y^{2n}}{y^{4m}})(xny−m)4×(x3y−2)−n=(xny−m)4×(x3y−2)−n=(x4ny−4m)×(x−3ny2n)=(x4n−3ny−4m+2n)=(xny−4my2n)=(y4mxny2n)
(xny−m)4×(x3y−2)−n=(xny2ny4m)(x^ny^{-m})^4\times(x^3y^{-2})^{-n} = (\dfrac{x^{n}y^{2n}}{y^{4m}})(xny−m)4×(x3y−2)−n=(y4mxny2n)
Answered By
6 Likes
Simplify:
[256a1681b4]−34\Big[\dfrac{256a^{16}}{81b^4}\Big]^{\dfrac{-3}{4}}[81b4256a16]4−3
(a−2b)−2.(ab)−3(a^{-2}b)^{-2}.(ab)^{-3}(a−2b)−2.(ab)−3
[125a−3y6]−13\Big[\dfrac{125a^{-3}}{y^6}\Big]^{\dfrac{-1}{3}}[y6125a−3]3−1
[32x−5243y−5]−15\Big[\dfrac{32x^{-5}}{243y^{-5}}\Big]^{\dfrac{-1}{5}}[243y−532x−5]5−1
