CPM Homework Help : AC Problem 2-14

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Home > AC > Chapter 14 > Lesson 14.2.1.1 > Problem 2-14

2-14.

Write each expression below in a simpler form.

^{$\frac { 5 ^ { 723 } } { 5 ^ { 721 } }$}
Hint (a):
Remember what exponent means.
Answer (a):
5² or 25

$\frac { 3 ^ { 300 } } { 3 ^ { 249 } }$
Hint (b):
See part (a).
Answer (b):
3⁵¹

$\frac { 3 \cdot 4 ^ { 1001 } } { 7 \cdot 4 ^ { 997 } }$
Hint (c):
Notice that the 7 and 3 are not being raised to any power.
Answer (c):
$\frac{3\cdot4^{4}}{7}$

^{$\frac { ( 6 ^ { 54 } ) ^ { 11 } } { ( 6 ^ { 49 } ) ^ { 10 } }$}
Hint (d):
How many 6's will there be if you multiply eleven 6⁵⁴'s together: 6⁵⁴ · 6⁵⁴ · 6⁵⁴ ... ?
Answer (d):
$6^{104}$

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