Question

Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?
RootIndex 4 StartRoot 2 cubed EndRoot
StartRoot 2 Superscript 5 EndRoot
RootIndex 4 StartRoot 4 cubed EndRoot
StartRoot 4 Superscript 5 EndRoot

Answer 1

(2^{1/2} · 2^{3/4})^2 = (2^{1/2+3/4})^2 = (2^{5/4})^2 = 2^{5/2} = √(2^5).

So the equivalent expression is √(2^5).