A company makes decorations for pens. All the supplies cost $5, and the company plans to sell the decorations
for $2 apiece. Analyze the relationship between the
number of decorations sold and the profit by completing
the table and the graph. Use the table and the graph
to write and solve an equation to find the number of
decorations that must be sold for the company to make
a $15 profit.

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Ответ:

giselabarajas24

16.03.2020

Mathematics

$\dfrac{1}{32}$

Step-by-step explanation:

You are given the expression $2^{-1}\cdot 2^{-4}$ .

Use the main properties of exponents:

1. $a^m\cdot a^n=a^{m+n}$

2. $a^{-n}=\dfrac{1}{a^n}$

Using the first property:

$2^{-1}\cdot 2^{-4}=2^{-1+(-4)}=2^{-1-4}=2^{-5}$

Using the second property

$2^{-5}=\dfrac{1}{2^5}=\dfrac{1}{32}$

So, the answer as a fraction is

$\dfrac{1}{32}$

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