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

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

Enrhifo

$$\frac{9y^{8}}{4x^{6}}$$

Camau Ateb

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

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

Ehangu \left(81y^{16}\right)^{\frac{1}{2}}.

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

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 16 a \frac{1}{2} i gael 8.

$$\frac{81^{\frac{1}{2}}y^{8}}{\left(16x^{12}\right)^{\frac{1}{2}}}$$

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

$$\frac{9y^{8}}{\left(16x^{12}\right)^{\frac{1}{2}}}$$

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

$$\frac{9y^{8}}{16^{\frac{1}{2}}\left(x^{12}\right)^{\frac{1}{2}}}$$

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

$$\frac{9y^{8}}{16^{\frac{1}{2}}x^{6}}$$

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

$$\frac{9y^{8}}{4x^{6}}$$

Gwahaniaethu w.r.t. x

$$-\frac{27y^{8}}{2x^{7}}$$