Arthur D. answered • 09/11/18

Tutor

4.9
(125)
Forty Year Educator: Classroom, Summer School, Substitute, Tutor

√128=√(2*2*2*2*2*2*2)=√(2

^{7})the square root a number is the same as the number raised to the (1/2) power; 2 is understood to be the index of the radical when no index is written, that is, square root

for example, √36=36

^{(1/2) }(which equals 6)therefore, √(2

^{7})=(2^{7})^{(1/2)}when you have a power raised to a power you multiply the exponents

therefore, (2

^{7})^{(1/2)}=2^{(7/2)}because 7*(1/2)=7/2in 7/2, 2 is the index and 7 is the power of 2