## anonymous 3 years ago for x=2^3 , Y=2^-3 and z=3^-1 , write each expression in simplest form with positive exponents a. xy

1. anonymous

$xy=2^3\times 2^{-3}=2^{3-3}=2^0=1$

2. anonymous

b. $\frac{ x }{ y }$ c. $x^{2}$ d. $\sqrt[10]{z}$ e. $\left( x + y \right)^2$ f.xyz

3. anonymous

$\frac{x}{y}=\frac{2^3}{2^{-3}}=2^{3+3}=2^6$

4. anonymous

how many of these you got?

5. anonymous

4 left :)

6. anonymous

$x^2=(2^3)^2=2^6$

7. anonymous

$\sqrt[10]{z}=\sqrt[10]{3^{-1}}=3^{-\frac{1}{10}}=\frac{1}{\sqrt[10]{3}}$

8. anonymous

$(x+y)^2=x^2+2xy+y^2=2^6+2+2^{-6}$

9. anonymous

and since $$xy=1$$ we have $$xyz=z=3^{-1}$$