Question
Simplify : $\frac{\sqrt[4]{243}}{\sqrt[4]{3}}$
✓
Answer
$ \frac{\sqrt[4]{243}}{\sqrt[4]{3}}$
$ =\frac{\sqrt[4]{3^5}}{\sqrt[4]{3}}$
$ =\frac{3^{5 \times \frac{1}{4}}}{3^{\frac{1}{4}}}$
$ =\frac{3^{\frac{5}{4}}}{3^{\frac{1}{4}}}$
$ =3^{\frac{5}{4}-\frac{1}{4}}$
$ =3^{\frac{4}{4}}$
$ =3^1$
$ =3$
$ =\frac{\sqrt[4]{3^5}}{\sqrt[4]{3}}$
$ =\frac{3^{5 \times \frac{1}{4}}}{3^{\frac{1}{4}}}$
$ =\frac{3^{\frac{5}{4}}}{3^{\frac{1}{4}}}$
$ =3^{\frac{5}{4}-\frac{1}{4}}$
$ =3^{\frac{4}{4}}$
$ =3^1$
$ =3$
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