Datrys (81/16)^{0.25}*((-8)^-frac{4{3}}*a^-8)*(2^-2*a^30)=

$$( \frac { 81 } { 16 } ) ^ { 0.25 } \cdot ( ( - 8 ) ^ { - \frac { 4 } { 3 } } \cdot a ^ { - 8 } ) \cdot ( 2 ^ { - 2 } \cdot a ^ { 30 } ) =$$

Enrhifo

$$\frac{3a^{22}}{128}$$

Camau Ateb

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch -8 a 30 i gael 22.

$$\left(\frac{81}{16}\right)^{0.25}\left(-8\right)^{-\frac{4}{3}}a^{22}\times 2^{-2}$$

Cyfrifo \frac{81}{16} i bŵer 0.25 a chael \frac{3}{2}.

$$\frac{3}{2}\left(-8\right)^{-\frac{4}{3}}a^{22}\times 2^{-2}$$

Cyfrifo -8 i bŵer -\frac{4}{3} a chael \frac{1}{16}.

$$\frac{3}{2}\times \frac{1}{16}a^{22}\times 2^{-2}$$

Lluosi \frac{3}{2} a \frac{1}{16} i gael \frac{3}{32}.

$$\frac{3}{32}a^{22}\times 2^{-2}$$

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

$$\frac{3}{32}a^{22}\times \frac{1}{4}$$

Lluosi \frac{3}{32} a \frac{1}{4} i gael \frac{3}{128}.

$$\frac{3}{128}a^{22}$$

Gwahaniaethu w.r.t. a

$$\frac{33a^{21}}{64}$$

Camau gan Ddefnyddio Diffiniad o Ddeilliad

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch -8 a 30 i gael 22.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(\frac{81}{16}\right)^{0.25}\left(-8\right)^{-\frac{4}{3}}a^{22}\times 2^{-2})$$

Cyfrifo \frac{81}{16} i bŵer 0.25 a chael \frac{3}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{2}\left(-8\right)^{-\frac{4}{3}}a^{22}\times 2^{-2})$$

Cyfrifo -8 i bŵer -\frac{4}{3} a chael \frac{1}{16}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{2}\times \frac{1}{16}a^{22}\times 2^{-2})$$

Lluosi \frac{3}{2} a \frac{1}{16} i gael \frac{3}{32}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{32}a^{22}\times 2^{-2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{32}a^{22}\times \frac{1}{4})$$

Lluosi \frac{3}{32} a \frac{1}{4} i gael \frac{3}{128}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{128}a^{22})$$

Deilliad ax^{n} yw nax^{n-1}.

$$22\times \frac{3}{128}a^{22-1}$$

Lluoswch 22 â \frac{3}{128}.

$$\frac{33}{64}a^{22-1}$$

Tynnu 1 o 22.

$$\frac{33}{64}a^{21}$$