Lutasin ang frac{sqrt[3]{a^4}}{sqrt{b}}frac{sqrt[3]{b}}{sqrt[3]{a^2}}sqrt[3]{asqrt{b}}

$$\frac{ \sqrt[ 3 ]{ { a }^{ 4 } } }{ \sqrt{ b } } \frac{ \sqrt[ 3 ]{ b } }{ \sqrt[ 3 ]{ { a }^{ 2 } } } \sqrt[ 3 ]{ a \sqrt{ b } }$$

I-evaluate

$$a$$

Maiikling Hakbang sa Solution

I-multiply ang \frac{\sqrt[3]{a^{4}}}{\sqrt{b}} sa \frac{\sqrt[3]{b}}{\sqrt[3]{a^{2}}} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

$$\frac{\sqrt[3]{a^{4}}\sqrt[3]{b}}{\sqrt{b}\sqrt[3]{a^{2}}}\sqrt[3]{a\sqrt{b}}$$

Ipakita ang \frac{\sqrt[3]{a^{4}}\sqrt[3]{b}}{\sqrt{b}\sqrt[3]{a^{2}}}\sqrt[3]{a\sqrt{b}} bilang isang single fraction.

$$\frac{\sqrt[3]{a^{4}}\sqrt[3]{b}\sqrt[3]{a\sqrt{b}}}{\sqrt{b}\sqrt[3]{a^{2}}}$$

I-factor ang mga expression na hindi pa na-factor.

$$\frac{\sqrt[3]{b}\sqrt[3]{\sqrt{b}a}\sqrt[3]{a^{4}}}{\sqrt{b}\sqrt[3]{a^{2}}}$$

I-cancel out ang \sqrt[3]{b} sa parehong numerator at denominator.

$$\frac{\sqrt[3]{\sqrt{b}a}\sqrt[3]{a^{4}}}{\sqrt[6]{b}\sqrt[3]{a^{2}}}$$

Palawakin ang expression.

$$\frac{\sqrt[6]{b}a^{\frac{5}{3}}}{\sqrt[6]{b}a^{\frac{2}{3}}}$$

I-cancel out ang \sqrt[6]{b}a^{\frac{2}{3}} sa parehong numerator at denominator.

$$a$$

I-differentiate ang w.r.t. a

$$1$$