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kenny6666 [7]
3 years ago
15

Which expression is equivalent to (3m^-2n)^-3/6mn^-2

Mathematics
2 answers:
Luden [163]3 years ago
7 0
We are asked to find the equivalent of the expression given:
(3m⁻² n)⁻³
-----------
6mn⁻²

Perform distribution of power using power rule such as shown below:
3⁻³ m⁻²*⁻³n⁻³
-----------------
6mn⁻²

Perform product and quotient rule such as shown below:
m⁶ n²
--------
3³ *6*m*n³

Simplify,
m⁵
--------
162n

The answer is m⁵/162n.
kakasveta [241]3 years ago
4 0

the answer is m⁵/162n young chiefs

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Debora [2.8K]

Answer:

3/5

Step-by-step explanation:

there are 6 even numbers and 4 odd so 10 in total which is 6/10 and that simplified is 3/5 PLS give me brainliest i beg

6 0
4 years ago
Express answer in exact form. Show all work for full credit.
Gennadij [26K]

Answer:

Area segment = 3/2 π - (9/4)√3 units²

Step-by-step explanation:

∵ The hexagon is regular, then it is formed by 6 equilateral Δ

∵ Area segment = area sector - area Δ

∵ Area sector = (Ф/360) × πr²

∵ Ф = 60° ⇒ central angle of the sector

∵ r = 3

∴ Area sector = (60/360) × (3)² × π = 3/2 π

∵ Area equilateral Δ = 1/4 s²√3

∵ The length of the side of the Δ = 3

∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3

∴ Area segment = 3/2 π - (9/4)√3 units²

4 0
4 years ago
Two rectangles have the same area of 24cm².The second rectangle is 4cm shorter and 1cm wider than the first.What is the length a
lukranit [14]

Answer:

  First rectangle: 12 cm by 2 cm

  Second rectangle: 8 cm by 3 cm

Step-by-step explanation:

You can examine factor pairs of 24 to see which pairs meet the requirements:

  24 = 1×24 = 2×12 = 3×8 = 4×6

Factor pairs (2, 12) and (3, 8) have one factor that differs by 1 and another factor that differs by 4. We can use these numbers to describe the rectangles:

  First rectangle: 12 cm by 2 cm

  Second rectangle: 8 cm by 3 cm

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1 pound and 2/7 hoped this helped 
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3 years ago
If 2 angles have the same angle measure they are said to be what
DanielleElmas [232]

2 angles that have the same angle measure are congruent.

Given that the two angles have the same angle measure.

Congruence is a term reserved for geometry. Two metrics are congruent when you can perfectly map to each other by mirroring, rotating, and translating without distortion.

We know that two shapes or objects are congruent if they have the same shape and the same size. For two angles to be congruent, they must coincide when they are overlapped. This is only possible if the two angles are equal.

Therefore, if two angles have the same measure, then they are said to be congruent.

Learn more about congruent angle from here brainly.com/question/2938476

#SPJ1

8 0
2 years ago
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