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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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1. Solve for x:<br> 3(2x – 1) – 10 = 8 + 5x<br> A. -7<br> B. -3<br> C. 19<br> D. 21
user100 [1]

Answer:

(D) 21

Explanation:

3(2x−1)−10=8+5x

Step 1: Simplify both sides of the equation.

3(2x−1)−10=8+5x

(3)(2x)+(3)(−1)+−10=8+5x(Distribute)

6x+−3+−10=8+5x

(6x)+(−3+−10)=5x+8(Combine Like Terms)

6x+−13=5x+8

6x−13=5x+8

Step 2: Subtract 5x from both sides.

6x−13−5x=5x+8−5x

x−13=8

Step 3: Add 13 to both sides.

x−13+13=8+13

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Read 2 more answers
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