Question

Which is equivalent to 3sqrt8^x?

Answer 1

`8^{(x)/(3) }` is the correct option.

Explanation:

Here is the correct question: Which is equivalent to ∛8^x?

• 
  `\sqrt[x]{8^(3) }`
• 
  `8^{(3)/(x) }`
• 
  `8^{(x)/(3) }`
• 
  `8^(3x)`

As per rule; while writing exponent into fraction form, Power is considered as numerator and Root as denominator, however base remain same.

∴ For writing exponent to fraction:
`\sqrt[root]{base^(Power) } = base^{(Power)/(root) }`

Now, writing given exponent to fraction.

`\sqrt[3]{8^(x) } = 8^{(x)/(3)}`

Hence,
`8^{(x)/(3) }` is the correct option.