KnowledgeBoat Logo
|

Mathematics

Simplify:

(2x23y32)6(-2x^{\dfrac{2}{3}}y^{\dfrac{-3}{2}})^6

Exponents

8 Likes

Answer

(2x23y32)6=(26x6×23y6×32)=(64x123y182)=(64x4y9)=64x4y9(-2x^{\dfrac{2}{3}}y^{\dfrac{-3}{2}})^6\\[1em] = \Big(-2^6x^{6\times\dfrac{2}{3}}y^{6\times\dfrac{-3}{2}}\Big)\\[1em] = \Big(64x^{\dfrac{12}{3}}y^{\dfrac{-18}{2}}\Big)\\[1em] = \Big(64x^4y^{-9}\Big)\\[1em] = \dfrac{64x^4}{y^9}

(2x23y32)6=64x4y9(-2x^{\dfrac{2}{3}}y^{\dfrac{-3}{2}})^6 = \dfrac{64x^4}{y^9}

Answered By

6 Likes


Related Questions