CPM Homework Help : PCT Problem 1-85

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1-85.

Simplify each expression to a single integer with an integral power, or state “impossible” and explain why.

$2^{3} · 3^{2}$
Answer (a):
Impossible, different bases.

$2^{2} + 2^{3}$
Answer (b):
Impossible, bases are being added.

$2^{2} · 2^{3}$
Answer (c):
$2^{2+3} = 2^5$

$\left(2^{2}\right)^{3}$
Answer (d):
$2^{2\cdot 3} = 2^{6}$

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

$2^{2} − 2^{4}$
Answer (f):
Impossible, bases are being subtracted.

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