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Wittaler [7]
3 years ago
14

Simplify this expression. -12/3x(-8+(-4)^-6)+2 Please show step by step :)

Mathematics
1 answer:
mylen [45]3 years ago
5 0
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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Answer:

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Step-by-step explanation:

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5 0
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jolli1 [7]

Answer:

105

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4 triangles -> 20 × 4 = 80

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3 0
3 years ago
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Bond [772]

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

\frac{9}{9+3} =\frac{21}{21 + ?}

\frac{9}{12} =\frac{21}{? + 21}

\frac{3}{4} =\frac{21}{? + 21}

\frac{1}{4} =\frac{7}{? + 21}

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

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3 0
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