Question

Which expression is equivalent to (x Superscript one-fourth Baseline y Superscript 16 Baseline) Superscript one-half?
x Superscript one-half Baseline y Superscript 4
x Superscript one-eighth Baseline y Superscript 8
x Superscript one-fourth Baseline y Superscript 8
x Superscript one-fourth Baseline y Superscript 4

Answer 1

(x^{1/4} y^{16})^{1/2} = x^{(1/4)(1/2)} y^{16(1/2)} = x^{1/8} y^8.

So the equivalent expression is: x^{1/8} y^8 (the second choice).