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MAVERICK [17]
3 years ago
15

In Exercise, use the properties of exponents to simplify the expression. (e1/2)(e4)

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

Answer:

e^{9/2}

Step-by-step explanation:

Let's consider the following expression.

(e^{1/2})(e^{4} )

We will use the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.

(e^{1/2})(e^{4} )=e^{1/2+4} =e^{1/2+8/2}=e^{9/2}

The simplified expression is e^{9/2}.

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Thepotemich [5.8K]
Simplify
1
4
(
4
+
x
)
4
1
​
(4+x) to
4
+
x
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4
4+x
​
.
4
+
x
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=
4
3
4
4+x
​
=
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4
​


2 Simplify
4
+
x
4
4
4+x
​
to
1
+
x
4
1+
4
x
​
.
1
+
x
4
=
4
3
1+
4
x
​
=
3
4
​


3 Subtract
1
1 from both sides.
x
4
=
4
3
−
1
4
x
​
=
3
4
​
−1

4 Simplify
4
3
−
1
3
4
​
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1
3
3
1
​
.
x
4
=
1
3
4
x
​
=
3
1
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5 Multiply both sides by
4
4.
x
=
1
3
×
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x=
3
1
​
×4

6 Simplify
1
3
×
4
3
1
​
×4 to
4
3
3
4
​
.
x
=
4
3
x=
3
4
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