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Algebra
Linear Algebra
When working with exponential expressions, we often encounter the natural number e
Undergraduate
When working with exponential expressions, we often encounter the natural number e as a base. Using e as a base follows all the same rules
When working with exponential expressions, we often encounter the natural number e as a
base. Using e as a base follows all the same rules for exponents. Think of e as just another
(
special
)
number!
Here are a few exponent rules and some formulas for your convenience.
Product property $$x
^
m
\
cdot x
^
n
=
x
^
{
m
+
n
}
$$
Quotient property $$
\
frac
{
x
^
m
}
{
x
^
n
}
=
x
^
{
m
-
n
}
$$
Power to a power property $$
(
x
^
m
)
^
n
=
x
^
{
m
\
cdot n
}
$$
Difference of squares $$
(
a
+
b
)
(
a
-
b
)
=
a
^
2
-
b
^
2
$$
Square a binomial $$
(
a
+
b
)
^
2
=
(
a
+
b
)
(
a
+
b
)
=
a
^
2
+
2
ab
+
b
^
2
$$
Square a binomial $$
(
a
-
b
)
^
2
=
(
a
-
b
)
(
a
-
b
)
=
a
^
2
-
2
ab
+
b
^
2
$$
Question
1
2
pts
Which of the following is equivalent to $$e
^
x
\
cdot e
^
x$$
.
Check all that apply.
$$e
^
{
2
x
}
$$
$$
(
e
^
x
)
^
2
$$
$$e
^
{
x
\
cdot x
}
$$
$$
2
e
^
x$$
$$e
^
{
x
^
2
}
$$
$$e
^
{
x
+
x
}
$$
Step by Step Solution
1
Understanding Responsive Design Principles
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