Math  Exponential
posted by
Anonymous
.
Evaluate [(26 + 37)/121]^(3/2)
= [(2√27)^3 + (2√36)^3] / [(2√121)^3]
= [(2√27)^3 + 6] / 1331
and now... I don't know what to do...
the answer is (189/1331)(√7)... BUT I don't know how to get this! Please help me! Thanks.

Math  Exponential 
Reiny
[(26 + 37)/121]^(3/2)
= [63/121]^(3/2)
= [9*7)^(3/2) / 1331
= [27*√7*√7*√7]/1331
= 27*7*√7/1331
= 189√7/1331

Math  Exponential 
Anonymous
I get what you did up until...
= [27*√7*√7*√7]/1331
Why is it √7 three times instead of √27??? I also don't get why 27 isn't √27...