# How do you simplify # (1/4)^5•4^13#?

##### 1 Answer

Jul 17, 2016

#### Answer:

Improper fraction:

#color(green)(16777/256# Mixed fraction:

#color(green)( 65 137/256#

#### Explanation:

Note that

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#(1/4)^5 * 4^13#

**Follow the rule from above and apply it to the first term.**

#1^5/4^5 * 4^13#

#(1*1*1*1*1)/(4*4*4*4*4) * 4^13#

#1/1024 * 4^13#

**Now evaluate the second term.**

#1/1024 * (4*4*4*4*4*4*4*4*4*4*4*4*4)#

#1/1024 * 67108864#

**Rewrite as fractions and multiply.**

#1/1024 * 67108864/1#

#(1times67108864)/(1024times1)#

#67108864/1024#

**Simplify the fraction.**

Improper fraction:

#color(green)(16777/256# Mixed fraction:

#color(green)( 65 137/256#