Datrys {left(81y^10/16x^12right)}^frac{1{2}}

$${ \left( \frac{ 81 { y }^{ 10 } }{ 16 { x }^{ 12 } } \right) }^{ \frac{ 1 }{ 2 } }$$

Enrhifo

$$\frac{9\left(|y|\right)^{5}}{4x^{6}}$$

Camau Ateb

I godi \frac{81y^{10}}{16x^{12}} i bŵer, codwch y rhifiadur a'r enwadur i bŵer ac yna rhannwch nhw.

$$\frac{\left(81y^{10}\right)^{\frac{1}{2}}}{\left(16x^{12}\right)^{\frac{1}{2}}}$$

Ehangu \left(81y^{10}\right)^{\frac{1}{2}}.

$$\frac{81^{\frac{1}{2}}\left(y^{10}\right)^{\frac{1}{2}}}{\left(16x^{12}\right)^{\frac{1}{2}}}$$

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 10 a \frac{1}{2} i gael 5.

$$\frac{81^{\frac{1}{2}}y^{5}}{\left(16x^{12}\right)^{\frac{1}{2}}}$$

Cyfrifo 81 i bŵer \frac{1}{2} a chael 9.

$$\frac{9y^{5}}{\left(16x^{12}\right)^{\frac{1}{2}}}$$

Ehangu \left(16x^{12}\right)^{\frac{1}{2}}.

$$\frac{9y^{5}}{16^{\frac{1}{2}}\left(x^{12}\right)^{\frac{1}{2}}}$$

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 12 a \frac{1}{2} i gael 6.

$$\frac{9y^{5}}{16^{\frac{1}{2}}x^{6}}$$

Cyfrifo 16 i bŵer \frac{1}{2} a chael 4.

$$\frac{9y^{5}}{4x^{6}}$$

Gwahaniaethu w.r.t. x

$$-\frac{27\left(|y|\right)^{5}}{2x^{7}}$$