### Home > AC > Chapter 14 > Lesson 14.2.1.1 > Problem2-14

2-14.

Write each expression below in a simpler form.

1. $\frac { 5 ^ { 723 } } { 5 ^ { 721 } }$

Remember what exponent means.

52 or 25

1. $\frac { 3 ^ { 300 } } { 3 ^ { 249 } }$

See part (a).

351

1. $\frac { 3 \cdot 4 ^ { 1001 } } { 7 \cdot 4 ^ { 997 } }$

Notice that the 7 and 3 are not being raised to any power.

$\frac{3\cdot4^{4}}{7}$

1. $\frac { ( 6 ^ { 54 } ) ^ { 11 } } { ( 6 ^ { 49 } ) ^ { 10 } }$

How many 6's will there be if you multiply eleven 654's together: 654 · 654 · 654 ... ?

$6^{104}$