How do you simplify ${(4)}^{- \frac{3}{2}}$ $(4)^(-3/2)$ ?

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Answer 1 · 2015-09-27T09:37:49

${(4)}^{- \frac{3}{2}} = \frac{1}{8}$ $(4)^(-3/2)=1/8$

To simplify this expression you use the following properties of powers:

${(4)}^{- \frac{3}{2}} = {(4^{\frac{1}{2}})}^{- 3} = 2^{- 3} = 8^{- 1} = \frac{1}{8}$ $(4)^(-3/2)=(4^(1/2))^(-3)=2^(-3)=8^-1=1/8$

How do you simplify (4)−32(4)^(-3/2)?