Question

Which expression is equivalent to

Answer 1

Answer:

$y^8x^\frac{1}{8}$

Step-by-step explanation:

Simplify using exponent rule with same exponent

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

$(x^\frac{1}{4} )^\frac{1}{2} (y^{16} )^\frac{1}{2}$

Simplify using exponent power rule $(a^n)^m=a^{nm}$:

$x^\frac{1}{8} y^8$

Simplify using $a^\frac{n}{m} =\sqrt[m]{a^n}$:

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

Rewrite the expression:

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

Convert to exponential form:
$y^8x\frac{1}{8}$

Answer:

$y^8x\frac{1}{8}$