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natali 33 [55]
4 years ago
13

(5x^4y^3)^2 Simplify

Mathematics
2 answers:
Allisa [31]4 years ago
7 0

This simplifies to 25x^8 16y^6.

You square everything in this probelm to get rid of the parentheses.

Svetllana [295]4 years ago
5 0
<h3>Question:</h3>

(5x^4 y³)² Simplify

<h3>Solution:·</h3>

25x^8 y^6

<h3>Step-by-step:</h3>

Apply exponent rule : ( a · b )^n = a^n b^n

= 5² <u>(x^4)²</u> (y³)²

   <u>(x^4)²</u> : x^8

= 5²x^8<u>(y³)²</u>

  <u>(y³)²</u> : y^6

= <u>5²</u>x^8y^6

  <u>5²</u> : 25

<h3>= 25x^8y^6</h3><h3 />

Hope this helped! :)



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Will mark branliest<br><br> combine like terms to create an equivalent expression to 7(2j + 3 + 2j).
Helga [31]

Answer:

28j + 21

step-by-step explanation:

(7) (2j+3+2j)

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=14j + 21 + 14j

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7 0
3 years ago
Read 2 more answers
The manager of a furniture factory finds that it costs $2400 to manufacture 60 chairs in one day and $4800 to produce 260 chairs
tamaranim1 [39]

Answer:

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

Step-by-step explanation:

Given that:

X1 = 60 chairs ; y1 = 2400

X2 = 260 chairs ; y2 = 4800

Obtain the slope ; m

m = y2 - y1 / x2 - x1

m = 4800 - 2400 / 260 - 60

m = 2400 / 200

m = 12

Using the point slope relation:

y - y1 = m(x - x1)

y - 2400 = 12(x - 60)

y - 2400 = 12x - 720

y = 12x - 720 + 2400

y = 12x + 1680

C(x) = 12x + 1680

From the general slope intercept equation :

y = mx + c

m = slope ; c = intercept

Hence,

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

5 0
3 years ago
A lamp manufacturer uses 714 m of electrical cord each week. The cord comes on spools that hold 12 m each.
RoseWind [281]
I meant to put the number 19
3 0
3 years ago
Can someone please help me to solve 3/4 problems pls i will mark you the brainly pls I need help
Gennadij [26K]

Answer:

3. x = 11.6

4. f = 2 g = 2

Step-by-step explanation:

3) (3x - 7) + (4x + 6) = 90 --> x = 11.6

4) 3f + 1 = 5f - 15 ---> f = 2

6g - 5 = 3f + 1

6g = 3(2) + 6 ---> g = 2

8 0
3 years ago
Helena creates two similar rectangles using exactly 100 cm of string. The smaller rectangles width and length are 4 cm by 6 cm r
Misha Larkins [42]

Answer:

The dimensions of the larger rectangle are 24\ cm of length by 16\ cm of width

Step-by-step explanation:

Let

x-----> the length of the larger rectangle

y-----> the width of the larger rectangle

we know that

\frac{x}{y}=\frac{6}{4} ------> by similar rectangles

x=1.5y -----> equation A

<u>Find the perimeter of the smaller rectangle</u>

P=2(6+4)=20\ cm

<u>Find the perimeter of the larger rectangle</u>

Subtract  the perimeter of the smaller rectangle from 100 cm of string

P=100-20=80\ cm

Remember that

80=2x+2y ------> 40=x+y ------> equation B

substitute equation A in equation B

40=1.5y+y

2.5y=40

y=16\ cm

Find the value of x

x=1.5(16)=24\ cm

The dimensions of the larger rectangle are 24\ cm of length by 16\ cm of width

3 0
3 years ago
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