CPM Homework Help : PC3 Problem 1-35

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1-35.

Which expressions below are equivalent?

$\left(\frac{3}{4}\right)^2$
Answer (a):
$\frac{9}{16}$

$\frac { 2 - \frac { 1 } { 5 } } { 3 + \frac { 1 } { 5 } }$
Step (b):
$\large{\frac{\frac{9}{5}}{\frac{16}{5}}}$

$-3^{-1}$
Step (c):
$-\frac{1}{3^1}$

$\frac { 2 - 5 ^ { - 1 } } { 3 + 5 ^ { - 1 } }$
Hint (d):
$5^{-1}=\frac{1}{5}$

$\frac{2}{3}-1$
Answer (e):
$-\frac{1}{3}$

$\frac { \frac { 8 } { 9 } - 2 } { 2 + \frac { 4 } { 3 } }$
Step (f):
$\large{ \frac{\frac{8}{9}-\frac{18}{9}}{\frac{6}{3}+\frac{4}{3}}}$

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