Question

Which expression is equivalent to

Answer 1

`y^8x^(1)/(8)`

Explanation:

Simplify using exponent rule with same exponent

`(ab)^n=a^n*b^n`:

`(x^(1)/(4) )^(1)/(2) (y^(16) )^(1)/(2)`

Simplify using exponent power rule
`(a^n)^m=a^(nm)`:

`x^(1)/(8) y^8`

Simplify using
`a^(n)/(m) =\sqrt[m]{a^n}`:

`\sqrt[8]{x} *y^8`

Rewrite the expression:

`y^8\sqrt[8]{x}`

Convert to exponential form:

`y^8x(1)/(8)`

Answer:

`y^8x(1)/(8)`