Question

Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?
Negative 4 x Superscript 4 Baseline y Superscript 6
Negative 8 x Superscript 4 Baseline y Superscript 6
StartFraction 4 x Superscript 4 Baseline Over y Superscript 6 EndFraction
StartFraction 8 x Superscript 4 Baseline Over y Superscript 6 Baseline EndFraction

Answer 1

(16 x^8 y^{-12})^{1/2} = 16^{1/2} · (x^8)^{1/2} · (y^{-12})^{1/2} = 4 · x^4 · y^{-6} = 4x^4 / y^6.