What is the simplest form of the number?
64^-1.5
A.512
B.1/512
C.32^2/3
D.1/96
Hello, I have to do an essay about Macbeth the question is who is to blame for the tragedy we read about in Shakespears macbeth. Do you believe the witches were to blame for the tragedy. Thanks, chris
Probably greed and ambition. Read about Macbeth's character here:
http://www.sparknotes.com/shakespeare/macbeth/
=)
This site will give you some great insight into the evil in Macbeth.
http://www.pathguy.com/macbeth.htm
In Scene 2, Macbeth describes his surroundings by saying, “Light thickens, and the crow / Makes wing to th’ rooky wood.� How can these remarks also be seen as a metaphorical commentary on the events of the play? What other remarks by Macbeth function in this way?
2 answers
The simplest form of the number is B. 1/512.
We can simplify 64^-1.5 by first finding the reciprocal of 64, which is 1/64. Next, we can rewrite the exponent as a positive fraction: 64^-1.5 = (1/64)^(3/2).
To simplify this further, we can take the square root of the denominator and cube the numerator:
(1/64)^(3/2) = (1/√64)^3 = (1/8)^3 = 1/512.
Therefore, the simplest form of 64^-1.5 is B. 1/512.
We can simplify 64^-1.5 by first finding the reciprocal of 64, which is 1/64. Next, we can rewrite the exponent as a positive fraction: 64^-1.5 = (1/64)^(3/2).
To simplify this further, we can take the square root of the denominator and cube the numerator:
(1/64)^(3/2) = (1/√64)^3 = (1/8)^3 = 1/512.
Therefore, the simplest form of 64^-1.5 is B. 1/512.