Question

Please help!! Simplify the following expression in terms of fractional exponents and write it in the following form.

Answer 1

`\huge{\boxed{ \huge{\sf 10^{(4)/(5) } x^(1)/(5) }}}`

Step-by-step explanation:

Exponent rules:

• 
  `\sqrt[\sf n]{\sf x^b} = \sf x^{\sf (b)/(n) }`

Given expression:

• 
  `\sqrt[\sf 5]{\sf 10^4 x}`

breakdown

• 
  `\sqrt[\sf 5]{\sf 10^4} \sqrt[\sf 5]{\sf x}`

rewrite expression

• 
  `\sf 10^{(4)/(5) } x^(1)/(5)`