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Marysya12 [62]
3 years ago
8

(5^3)^2 . (4^2)^2 . (6^2)^3

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0

Answer:

1. 15625

2. 256

3. 46656

Step-by-step explanation:

Simplify the following:

(5^3)^2

Multiply exponents. (5^3)^2 = 5^(3×2):

5^(3×2)

3×2 = 6:

5^6

5^6 = (5^3)^2 = (5×5^2)^2:

(5×5^2)^2

5^2 = 25:

(5×25)^2

5×25 = 125:

125^2

| | 1 | 2 | 5

× | | 1 | 2 | 5

| | 6 | 2 | 5

| 2 | 5 | 0 | 0

1 | 2 | 5 | 0 | 0

1 | 5 | 6 | 2 | 5:

Answer:  15625

_________________________________________

Simplify the following:

(4^2)^2

Multiply exponents. (4^2)^2 = 4^(2×2):

4^(2×2)

2×2 = 4:

4^4

4^4 = (4^2)^2:

(4^2)^2

4^2 = 16:

16^2

| 1 | 6

× | 1 | 6

| 9 | 6

1 | 6 | 0

2 | 5 | 6:

Answer:  256

____________________________________________

Simplify the following:

(6^2)^3

Multiply exponents. (6^2)^3 = 6^(2×3):

6^(2×3)

2×3 = 6:

6^6

6^6 = (6^3)^2 = (6×6^2)^2:

(6×6^2)^2

6^2 = 36:

(6×36)^2

6×36 = 216:

216^2

| | 2 | 1 | 6

× | | 2 | 1 | 6

| 1 | 2 | 9 | 6

| 2 | 1 | 6 | 0

4 | 3 | 2 | 0 | 0

4 | 6 | 6 | 5 | 6:

Answer:  46656

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Leno4ka [110]

Answer:

1 foot, 16 inches, 1/2 yard, 2 feet, 1 yard

Step-by-step explanation:

3 0
2 years ago
Pick a expression that matches the written description Subtract a from the quotient of 6 and B
Luba_88 [7]

An expression that is equivalent to the statement Subtract a from the quotient of 6 and B is 6/b - a

<h3>How to write equivalent expression</h3>

Given statement

Subtract a from the quotient of 6 and B

  • The quotient of 6 and B can be written as 6/B

  • a subtracted from 6/B is written as

6/B - a

Therefore, the correct option equivalent to the statement is option A) 6/B - a

Learn more about equivalent expression:

brainly.com/question/2972832

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2 years ago
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Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.
kozerog [31]

Answer:

6.75g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.0025kg to g

Each kg has 1000g, so:

1kg - 1000g

0.0025kg - xg

x = 1000*0.0025 = 2.5g

0.0025kg = 2.5g

Second step:  1750 mg

Each g has 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

x = \frac{1750}{1000}

x = 1.75g

1750 mg = 1.75g

2.25g - OK

Third step: 825,000 μg to g

Each g has 1,000,000 ug, so:

1g - 1,000,000 ug

xg - 825,000 ug

1,000,000x = 825,000

x = \frac{825,000}{1,000,000}

x = 0.25g

825,000 μg = 0.25g

Final step: adding everyting

0.25g + 2.25g + 1.75g + 2.50g = 6.75g

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What is the coefficient in the mathematical expression?
barxatty [35]

Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.

<h3>What is the leading coefficient of a polynomial?</h3>

The leading coefficient of a polynomial is the <u>term that multiplies the highest exponent</u>.

In this problem, the expression is given by:

7m² + 19.

The highest exponent is of 2, in m², hence the leading coefficient is of 7.

More can be learned about the coefficient of a mathematical expression at brainly.com/question/24380382

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A vertical pole is supported by a wire that is 26 feet long. If the wire is attached to the ground 24 feet away from the base of
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