Asked by Name
I'm stuck on this I got square root 4096^-1/6 I don't know what to do next
(Square root 16^3) ^-1/6
(Square root 16^3) ^-1/6
Answers
Answered by
Reiny
(Square root 16^3) ^-1/6
(√(16^3) )^(-1/6)
= 16^( (1/2)(3)(-1/6) )
= 16^(-3/12)
= 16^(-1/4)
= 1/16^(1/4)
= 1/2 or .5
or your way:
4096^(-1/6)
= .5 , using my calculator
(√(16^3) )^(-1/6)
= 16^( (1/2)(3)(-1/6) )
= 16^(-3/12)
= 16^(-1/4)
= 1/16^(1/4)
= 1/2 or .5
or your way:
4096^(-1/6)
= .5 , using my calculator
Answered by
Name
Is there any other way to solve this?
Answered by
Damon
Here is another slightly different way[16^(3/2)]^-1/6
(4^3)^-1/6
4^-1/2
1/4^(1/2)
1/2
.5
(4^3)^-1/6
4^-1/2
1/4^(1/2)
1/2
.5
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