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lesya [120]
1 year ago
9

Please help me answer these questions

Mathematics
1 answer:
AfilCa [17]1 year ago
6 0
(a) (3a⁴)³ = 3³a³*⁴ = 9a^12
(b) (2m³)⁶ = 2⁶m⁶*³ = 64m^18
(c) (7p⁵)² = 7²p²*⁵ = 49p^10
(d) (10k²)⁴ = 10⁴k⁴*² = 10000k⁸
(e) (5t^11)³ = 5³t^11*³ = 125t³³
(f) (x³y²)⁵ = x⁵*³y⁵*² = x^15y^10
(g)(m⁴n⁶)³ = m³*⁴n³*⁶ = m^12n^18
(h) (p⁷q³)⁴ = p⁴*⁷q⁴*³ = p²⁸q^12
(i) (a⁴b^10)² = a²*⁴b²*^10 = a⁸b^20
(j) (2x⁵y²)³ = 2³x³*⁵y³*² = 8x^15y⁶
(k) (3x⁷y⁴)³ = 3³x³*⁷y³*⁴ =27x^21y^12
(l) (5p²q⁴)³ = 5³p³*²q³*⁴ =125p⁶q^12

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mars1129 [50]

Answer:

27

Step-by-step explanation:

Given the expression

\left(3^{-6}\times 3^{3}\right)^{-1}\\

According to law of indices, this can be written as;

\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27

Hence the required answer is 27

5 0
1 year ago
FIRST ONE TO ANSWER GETS BRAINLIEST Henry divided his socks into five equal groups. Let s represent the total number of socks. W
Alex777 [14]

Answer: There are 20 socks in the first case and there are 75 socks in the second case.

Step-by-step explanation:

Since we have given that

Number of equal groups = 5

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Now, Suppose number of socks in each group = 4

So, it will become,

Suppose number of socks in each group = 15

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3 0
2 years ago
What is another way to write 9x200?
pashok25 [27]
9×2=18. add the tow zeros like this 9×2=18+00=1,800
7 0
1 year ago
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Kate packs snow into 5 identical jars. Each jar represents a different depth of snow. Kate then lets the snow in each jar comple
Xelga [282]

Answer:

A, C, E

Step-by-step explanation:

From the table you can see that the water depth cahnges

0.8-0.4=1.2-0.8=1.6-1.2=2.0-1.6=0.4\ in

for every

4-2=6-4=8-6=10-8=2\ in of snow (option B is false).

This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be y=ax+b. Then

0.4=2a+b,\\ \\0.8=4a+b.

Subtract these two equations:

2a=0.8-0.4,\\ \\2a=0.4,\\ \\a=0.2.

Hence,

b=0.4-2\cdot 0.2=0.

The equation of the straight line (the graph of linear function) is y=0.2x. (option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).

9 0
2 years ago
Read 2 more answers
Sitting on a park bench, you see a swing that is 100 feet away and a slide that is 80 feet away. The angle between them is 30 de
leva [86]

We are given : Distance of the swing = 100 feet.

Distance of slide = 80 feet.

Angle between swing and slide = 30 degrees.

We need to find the distance between the swing and the slide.

Distance of swing, distance of slide and distance between the swing and the slide form a triangle.

We can apply cosine law to find the distance between the swing and the slide.

c^2 = a^2 +b^2  - 2ab cos C

c^2 = 100^2 +80^2 - 2(100)(80) cos 30°

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c^2 = 16400 - 13856

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c =\sqrt{2544}

c= 50.44

c = 50 feet approximately.

<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>
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1 year ago
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