What is (\sqrt[4]{x^7})/(\sqrt[4]{x^3)} ?

The solution to (\sqrt[4]{x^7})/(\sqrt[4]{x^3)} is x

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simplify (\sqrt[4]{x^7})/(\sqrt[4]{x^3)}

simplify

\frac{4 x ^{7}}{4 x ^{3}}

x

Solution steps

\frac{4 x ^{7}}{4 x ^{3}}

Apply radical rule:

\frac{n a}{n b} = n \frac{a}{b},

assuming

a \geq 0, b \geq 0

\frac{4 x ^{7}}{4 x ^{3}} = 4 \frac{x ^{7}}{x ^{3}}

= 4 \frac{x ^{7}}{x ^{3}}

Cancel

\frac{x ^{7}}{x ^{3}} : x^{4}

= 4 x^{4}

Apply radical rule:

n a^{n} = a,

assuming

a \geq 0

4 x^{4} = x

= x

3 a (x + 1) - 5 b (x + 1)

- sin^{2} (t) - cos^{2} (t)

7 x - 9 x - 12 x - 13 x + 23 x - 2 x

\frac{2}{5 - 23}

n x^{3 n}

What is (\sqrt[4]{x^7})/(\sqrt[4]{x^3)} ?
The solution to (\sqrt[4]{x^7})/(\sqrt[4]{x^3)} is x