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ANTONII [103]
2 years ago
11

What is the simplest form of

Mathematics
1 answer:
steposvetlana [31]2 years ago
4 0

Answer:

The simplest form of \sqrt[3]{27a^{3}b^{7}} is

3ab²(∛b)

Step-by-step explanation:

The given term is:

\sqrt[3]{27a^{3}b^{7}}

To convert it into its simplest form, we will apply simple mathematical rules to simplify the power of individual terms.

\sqrt[3]{27a^{3}b^{7}}\\= \sqrt[3]{3^{3} a^{3}b^{7}}\\= \sqrt[3]{3^{3}a^{3}b^{6}b}\\= 3^{3/3} a^{3/3}b^{6/3}b^{1/3}}\\= 3ab^{2}(\sqrt[3]{b})

While simplifying the term, we basically took the cube root of individual terms. The powers cancelled out cube root for some terms. In the end, we were left with the simplest form of the expression.

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Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning 38 x+7 x+7 x+7 x+
QveST [7]

Answer:

x = (-158)/87

Step-by-step explanation:

Solve for x:

38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38

Hint: | Multiply 7 and 4 together.

7×4 = 28:

38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38

Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).

Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):

28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38

Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.

38 x + 7 x + 7 x + 7 x = 59 x:

28 (x + 7) + 59 x = 38

Hint: | Distribute 28 over x + 7.

28 (x + 7) = 28 x + 196:

28 x + 196 + 59 x = 38

Hint: | Add like terms in 59 x + 28 x + 196.

28 x + 59 x = 87 x:

87 x + 196 = 38

Hint: | Isolate terms with x to the left hand side.

Subtract 196 from both sides:

87 x + (196 - 196) = 38 - 196

Hint: | Look for the difference of two identical terms.

196 - 196 = 0:

87 x = 38 - 196

Hint: | Evaluate 38 - 196.

38 - 196 = -158:

87 x = -158

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 87 x = -158 by 87:

(87 x)/87 = (-158)/87

Hint: | Any nonzero number divided by itself is one.

87/87 = 1:

Answer: x = (-158)/87

5 0
3 years ago
If rectangle ABCD was reflected over the y-axis, reflected over the x-
olga_2 [115]

Answer:

-4, 1

Step-by-step explanation:

5 0
3 years ago
What is the equation in point slope form of the line that passes the points (2,-3) and(-5,8)
Grace [21]

Answer:

y+3=-11/7(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(8-(-3))/(-5-2)

m=(8+3)/(-7)

m=11/-7

m=-11/7

y-(-3)=-11/7(x-2)

y+3=-11/7(x-2)

4 0
2 years ago
Please can you answer question b
alexira [117]

   198 + (199*3) + (200*2) +(201*5) + (202*2) = 2604

frequency = 1 + 3 +2 + 5 + 2 = 13

201 = (2604 + x )/14
multiply both sides by 14
x = 201*14 = 2604 +x

x = 2814 = 2604 +x

subtract 2604 from both sides:

x = 2814 - 2604
x = 210 cm

height of new player = 210 cm
3 0
3 years ago
Please solve 7(b=2) = 49
Luden [163]
Here is your answer
Please mark it brainliest

7 0
2 years ago
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