How do you write 10 to the 1.5th power?

1 Answer
Nov 4, 2015

#10^(1.5) = +-10sqrt(10)#

Explanation:

#10^(1.5) = 10^(3/2)#

#color(white)("XX")= (10^(1/2))^3#

#color(white)("XX")=(+-sqrt(10))^3#

#color(white)("XX")=(+-sqrt(10))^2xx(+-sqrt(10))^1#

#color(white)("XX")=10xx(+-sqrt(10))#

#color(white)("XX")=+-10sqrt(10)#

Sorry if I've overdone the details; also depending upon your instructor, only the primary root (#10sqrt(10)#) might be expected as an answer.