Question

Write the radical expression 8/^7√x^15 in exponential form

Answer 1

rembber

`\sqrt[n]{x^m}=x^(m)/(n)`
and
`(1)/(x^m)=x^(-m)` so


`\frac{8}{ \sqrt[7]{x^(15)} }= (8)/(x^ (15)/(7) )=8x^{((-15)/(7))}`

Answer 2

`8 \cdot x^{-(15)/(7)}`

Explanation:

Using exponent rule:

• 
  `\sqrt[n]{a^m} = a^{(m)/(n)}`

• 
  `a^(-m)=(1)/(a^m)`

Given the radical expression:

`\frac{8}{\sqrt[7]{x^(15)} }`

Apply the exponent rule:

`\frac{8}{x^{(15)/(7)} }`

Again apply the exponent rule:

`8 \cdot x^{-(15)/(7)}`

Therefore, the radical expression
`\frac{8}{\sqrt[7]{x^(15)} }` in exponential form is,
`8 \cdot x^{-(15)/(7)}`