chubbytots
for x=2^3 , Y=2^3 and z=3^1 , write each expression in simplest form with positive exponents
a. xy



This Question is Closed

anonymous
Best Response
You've already chosen the best response.
0
\[xy=2^3\times 2^{3}=2^{33}=2^0=1\]

chubbytots
Best Response
You've already chosen the best response.
0
b. \[\frac{ x }{ y }\]
c. \[x^{2}\]
d. \[\sqrt[10]{z}\]
e. \[\left( x + y \right)^2\]
f.xyz

anonymous
Best Response
You've already chosen the best response.
0
\[\frac{x}{y}=\frac{2^3}{2^{3}}=2^{3+3}=2^6\]

anonymous
Best Response
You've already chosen the best response.
0
how many of these you got?

chubbytots
Best Response
You've already chosen the best response.
0
4 left :)

anonymous
Best Response
You've already chosen the best response.
0
\[x^2=(2^3)^2=2^6\]

anonymous
Best Response
You've already chosen the best response.
0
\[\sqrt[10]{z}=\sqrt[10]{3^{1}}=3^{\frac{1}{10}}=\frac{1}{\sqrt[10]{3}}\]

anonymous
Best Response
You've already chosen the best response.
0
\[(x+y)^2=x^2+2xy+y^2=2^6+2+2^{6}\]

anonymous
Best Response
You've already chosen the best response.
0
and since \(xy=1\) we have \(xyz=z=3^{1}\)