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Mademuasel [1]
3 years ago
5

I dont understand how do this question.There is a picture.​

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

9514 1404 393

Answer:

  b⁶

Step-by-step explanation:

The question tells you how to work it: use the relations you studied.

Here, you have the power of an expression with an exponent. The exponents multiply.

  \text{Rule: }(a^b)^c=a^{bc}\\\\\text{Appication: }(b^3)^2=b^{3\cdot2}=\boxed{b^6}

_____

<em>Additional comment</em>

A coefficient is used to indicate repeated addition: 3x = x + x + x.

An exponent is used to indicate repeated multiplication: x³ = x·x·x.

This is still true when the exponent is applied to an expression with an exponent:

  (b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2

Of course, each of these indicates repeated multiplication, so we really have ...

  (b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b

And this can be simplified using an exponent to show the repeated multiplication:

  = b⁶

Then, by going the long way around, we arrive at ...

  (b³)² = b⁶

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Part A: Find the LCM of 7 and 12. Show your work. (3 points)
inna [77]

Answer:

A. 84; B. 8; C. 8 × 19

Step-by-step explanation:

Part A. Least common multiple

Step 1. List the prime factors of each.

7 = 7

12 = 2 × 2 × 3

Step 2: Multiply each factor the greatest number of times it occurs in either number.

7 has one 7; 12 has two 2s and one 3.

LCM = 7 × 2 × 2 × 3

LCM = 7 × 12

LCM = 84

Part B. Highest common factor

Find all the factors of 56 and 96.

Factors of 56: 1, 2, 4,     7, 8,      14,          28

Factors of 96: 1, 2, 4, 6,     8, 12,    16, 24,     32, 48

The highest factor that in both 56 and 96 is 8.

Part C. Factoring

56 + 96 = 8(7 + 12) = 8 × 19

The GCF is 8.

19 = 7 + 12 is the sum of two numbers that do not have a common factor.

4 0
3 years ago
Plz help ASAP matswatch
vaieri [72.5K]

Answer:

Step-by-step explanation:

4 0
3 years ago
Find the real numbers x and y that make the equation true (x+6i)=(3-i)+(4-2yi)​
Ronch [10]

Answer:

x = 7

y = -7/2

Step-by-step explanation:

(x+6i)=(3-i)+(4-2yi)​

First look at the real parts

x = 3 +4

x = 7

Then look at the imaginary part

6i= -i -2yi

6 = -1-2y

Add 1 to each side

6+1 = -2y

7 = -2y

Divide by -2

7/-2 = y

5 0
3 years ago
Which side lengths form a right triangle?
Natalija [7]

Answer:

this is kinda confusing..So ill just answer the first question.

<h3>Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.</h3>

hope it helps.

5 0
3 years ago
Long division by single digit <br>​
Sauron [17]

Answer:

Here's an example of long division:

Step-by-step explanation:

Let's just do 48 divided by 6. First you have to multiply the 6 (the number we're dividing with) until it reaches the closest to 48 (6 x 8 = 48). Now you subtract 48 from 48, and you get zero. So 48 divided by 6 would be 0.

Hope this answers your question!

7 0
3 years ago
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