SOLUTION: CAn someone please help me? I keep trying these but I also keep getting different answers:( a) [16^(1/2) +(2/3)^0]^-2 b)(27/8)^(1/3) + 4^-1 c)(7^0 - 4^-1)^-3

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Question 271060: CAn someone please help me? I keep trying these but I also keep getting different answers:(
a) [16^(1/2) +(2/3)^0]^-2
b)(27/8)^(1/3) + 4^-1
c)(7^0 - 4^-1)^-3

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Remember any number raised to the power of 0 = 1
:
a) [16^(1/2) +(2/3)^0]^-2
[16^(1/2) + 1]^-2
The exponent of 1/2 is the square root of the number
(4 + 1)^-2
5^-2
The reciprocal gets rid of the neg
=
:
:
b)(27/8)^(1/3) + 4^-1
Take the cube root of both numerator and denominator
+ = + =
:
:
c)(7^0 - 4^-1)^-3
(1 - )^-3 = ()^-3 = ()^3
cube both the numerator and denominator

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