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3 votes
Simplify this expression.

-12/3x(-8+(-4)^-6)+2

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1 Answer

3 votes
How to solve your problem
Topics: Algebra

1
2
3


(

8
+
(

4
)

6
)
+
2

12
3

x
(

8
+
(

4
)

6
)
+
2
3−12​⋅x(−8+(−4)−6)+2
Simplify
1
Divide the numbers

1
2
3


(

8
+
(

4
)

6
)
+
2

12
3

x
(

8
+
(

4
)

6
)
+
2
3−12​⋅x(−8+(−4)−6)+2

4

(

8
+
(

4
)

6
)
+
2

4
x
(

8
+
(

4
)

6
)
+
2
−4x(−8+(−4)−6)+2
2
Evaluate the exponent

4

(

8
+
(

4
)

6
)
+
2

4
x
(

8
+
(

4
)

6
)
+
2
−4x(−8+(−4)−6)+2

4

(

8
+
1
4
0
9
6
)
+
2

4
x
(

8
+
1
4096
)
+
2
−4x(−8+40961​)+2
3
Add the numbers

4

(

8
+
1
4
0
9
6
)
+
2

4
x
(

8
+
1
4096
)
+
2
−4x(−8+40961​)+2

4

(

3
2
7
6
7
4
0
9
6
)
+
2

4
x
(

32767
4096
)
+
2
−4x(−409632767​)+2
4
Multiply the numbers

4

(

3
2
7
6
7
4
0
9
6
)
+
2

4
x
(

32767
4096
)
+
2
−4x(−409632767​)+2
3
2
7
6
7
1
0
2
4

+
2
32767
1024
x
+
2
102432767​x+2
5
Combine multiplied terms into a single fraction
3
2
7
6
7
1
0
2
4

+
2
32767
1024
x
+
2
102432767​x+2
3
2
7
6
7

1
0
2
4
+
2
32767
x
1024
+
2
102432767x​+2
6
Find common denominator
3
2
7
6
7

1
0
2
4
+
2
32767
x
1024
+
2
102432767x​+2
3
2
7
6
7

1
0
2
4
+
1
0
2
4

2
1
0
2
4
32767
x
1024
+
1024

2
1024
102432767x​+10241024⋅2​
7
Combine fractions with common denominator
3
2
7
6
7

1
0
2
4
+
1
0
2
4

2
1
0
2
4
32767
x
1024
+
1024

2
1024
102432767x​+10241024⋅2​
3
2
7
6
7

+
1
0
2
4

2
1
0
2
4
32767
x
+
1024

2
1024
102432767x+1024⋅2​
8
Multiply the numbers
3
2
7
6
7

+
1
0
2
4

2
1
0
2
4
32767
x
+
1024

2
1024
102432767x+1024⋅2​
3
2
7
6
7

+
2
0
4
8
1
0
2
4
32767
x
+
2048
1024
102432767x+2048​
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