(1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) = ?
A. 1/2^(-48)
B. 1/2^(-11)
C. 1/2^(-6)
D. 1/8^(-11)
E. 1/8^(-6)
B
A. 1/2^(-48)
B. 1/2^(-11)
C. 1/2^(-6)
D. 1/8^(-11)
E. 1/8^(-6)
B
NOTE:AbeNeedsAnswers wrote:(1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1) = ?
A. 1/2^(-48)
B. 1/2^(-11)
C. 1/2^(-6)
D. 1/8^(-11)
E. 1/8^(-6)
B
1/4 = (1/2)^2
1/16 = (1/2)^4
So, (1/2)^(-3) x (1/4)^(-2) x (1/16)^(-1) = (1/2)^(-3) x ((1/2)^2)^(-2) x ((1/2)^4)^(-1)
= (1/2)^(-3) x (1/2)^(-4) x (1/2)^(-4)
= (1/2)^-11
Answer: B
