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Sophie [7]
3 years ago
15

Simplify (x^4y)^3. x^12y^3 x^4y^3 x^7y^3

Mathematics
1 answer:
pogonyaev3 years ago
4 0
<h3>Answer: Choice A,  x^12y^3</h3>

=========================================================

Explanation:

Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent

x^4 turns into x^12

y^1 turns into y^3

-----------

This is one way to show your work

(x^4y)^3

(x^4y^1)^3

x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent

x^12y^3

-----------

A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.

(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)

(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)

(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )

(x^4y)^3 = x^12y^3

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Segment wx is shown Explain how you would construct a perpendicular bisector of wx using a compass and a straightedge
n200080 [17]

Answer:

To perpendicular bisector of line segment WX. There are following steps:

1) Draw arcs or circles from points A and B on the both sides of WX.

2) Name the intersection points as W and X.

3) Use the straightedge to draw a line through points W and X.

4) Name the point as O

hence we have construct perpendicular bisector AB of WX which bisects at O.

4 0
3 years ago
Which of the following is equivalent to the complex number i24?
Alika [10]

Answer: 1

Step-by-step explanation:

Rewrite as (i^4)^6

Rewrite i^4 as 1

Rewrite i^4 as (i^2) ^2

((i^2)) ^2)6

Rewrite i^2 as -1

((-1) ^2) 6

Raise -1 to the power of 2

1^6

One to any power is 1.

5 0
2 years ago
The figure shown has a parallelogram on top and a rectangle below it:
Verdich [7]

Area of a parallelogram = b×h
= 13.4×48.2
= 645.88 inches square
Area of rectangle = l×b
=7.3×48.2
= 351.86
Area of the figure = (b×h) + (l×b)
=645.88+351.86
= 997.74 inches square
Therefore, the answer is option C

5 0
3 years ago
What is the solution to the system of equations graphed below?<br> y = -4x + 2<br> 6<br> y = x-3
Vikentia [17]

Answer:

y=14/5, x=29/5

Step-by-step explanation:

3 0
3 years ago
PLS HELP!!! Solve for x.
Blizzard [7]
<h3>Solution</h3>

x/6 = (x + 8)/8

8x = 6(x + 8)

8x = 6x + 48

8x - 6x = 48

2x = 48

x = 24

6 0
2 years ago
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