CPM Homework Help : PC3 Problem 1-12

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1-12.

Simplify each expression to a single integer with an integer 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):
$2^{2+3} = 2^5$

$(2^2)^3$
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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