What is (\sqrt[7]{x^5})/(\sqrt[9]{x^5)} ?

The solution to (\sqrt[7]{x^5})/(\sqrt[9]{x^5)} is x^{10/63}

Popular >

simplify (\sqrt[7]{x^5})/(\sqrt[9]{x^5)}

simplify

x^{\frac{10}{63}}

Solution steps

Apply radical rule:

= \frac{( x ^{5} ) ^{\frac{1}{7}}}{( x ^{5} ) ^{\frac{1}{9}}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= (x^{5})^{\frac{1}{7} - \frac{1}{9}}

Join

\frac{1}{7} - \frac{1}{9} : \frac{2}{63}

= (x^{5})^{\frac{2}{63}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{5 \cdot \frac{2}{63}}

5 \cdot \frac{2}{63} = \frac{10}{63}

= x^{\frac{10}{63}}

2.9 \times 1 0^{- 4}

(e^{\frac{2.8}{86.2 \cdot 1 0 ^{- 6} \cdot 298}} + 1)^{- 1}

(6.67 \cdot 1 0^{- 11}) (7.8 \cdot 1 0^{24})

(a + b) (a + b)

(6 - 5) (6 - 5)

What is (\sqrt[7]{x^5})/(\sqrt[9]{x^5)} ?
The solution to (\sqrt[7]{x^5})/(\sqrt[9]{x^5)} is x^{10/63}