Answer:
[tex]y^8x^\frac{1}{8}[/tex]
Step-by-step explanation:
Simplify using exponent rule with same exponent
[tex](ab)^n=a^n*b^n[/tex]:
[tex](x^\frac{1}{4} )^\frac{1}{2} (y^{16} )^\frac{1}{2}[/tex]
Simplify using exponent power rule [tex](a^n)^m=a^{nm}[/tex]:
[tex]x^\frac{1}{8} y^8[/tex]
Simplify using [tex]a^\frac{n}{m} =\sqrt[m]{a^n}[/tex]:
[tex]\sqrt[8]{x} *y^8[/tex]
Rewrite the expression:
[tex]y^8\sqrt[8]{x}[/tex]
Convert to exponential form:
[tex]y^8x\frac{1}{8}[/tex]
Answer:
[tex]y^8x\frac{1}{8}[/tex]
