What is (\sqrt[10]{x^7})/(\sqrt[7]{x^2)} ?

The solution to (\sqrt[10]{x^7})/(\sqrt[7]{x^2)} is (x^{5/7}\sqrt[10]{x^7})/x

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simplify (\sqrt[10]{x^7})/(\sqrt[7]{x^2)}

simplify

Solution steps

Multiply by the conjugate

\frac{( x ^{2} ) ^{\frac{6}{7}}}{( x ^{2} ) ^{\frac{6}{7}}}

Simplify

x^{\frac{12}{7}} = x^{1 + \frac{5}{7}}, x^{2} = x^{1 + 1}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{1 + \frac{5}{7}} = x^{1} x^{\frac{5}{7}}, x^{1 + 1} = x^{1} x^{1}

Cancel the common factor:

x^{1}

lo g_{0.2} (4)

54 \times 4

12.96

x^{2} + 40 x + 400

- \frac{6}{16}

What is (\sqrt[10]{x^7})/(\sqrt[7]{x^2)} ?
The solution to (\sqrt[10]{x^7})/(\sqrt[7]{x^2)} is (x^{5/7}\sqrt[10]{x^7})/x