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MrRa [10]
3 years ago
6

Which expression is the simplest form of...

Mathematics
2 answers:
Lemur [1.5K]3 years ago
5 0

Answer:

The answer is option A

Step-by-step explanation:

<h3>( {x}^{ -  \frac{4}{7} } )^{7}</h3>

Using the rules of indices

That's

<h3>( { {a}^{x} })^{y}  =  {a}^{x \times y}</h3>

Simplify the expression

We have

<h3>( { {x}^{ -  \frac{4}{7} } })^{7}  =  {x}^{ -  \frac{4}{7} \times 7 }   \\  =  {x}^{ - 4}</h3>

Again using the rules of indices

That's

<h3>{x}^{ - y}  =  \frac{1}{ {x}^{y} }</h3>

The final answer is

<h3>\frac{1}{ {x}^{4} }</h3>

Hope this helps you

madam [21]3 years ago
4 0
The answer is the first one
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Find the greatest common factor of 12 w' and 8w
Anton [14]

Answer:4w

Step-by-step explanation:

To find the greatest common factors of 12w and 8w

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Rania solves the equation below by first squaring both sides of the equation.
Anuta_ua [19.1K]

Answer:

The extraneous solution is 4.

Step-by-step explanation:

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-5 = 3x - 7

Collect like terms

-5 + 7 = 3x

2 = 3x

Divide both side by 3

x = 2/3.

Now, let us calculate the value of 'x' by squaring both side of the expression. This is illustrated below:

(-5)^2 = (3x - 7)^2

25 = (3x - 7)(3x - 7)

25 = 9x^2 - 21x - 21x + 49

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Solving by factorisation:

Multiply the first term i.e 9x^2 and 3rd term i.e 24 together. The result is 216x^2.

Next, we shall obtain two factors of 216x^2 such that when we add them together, it will give the 2nd term i.e -42x in the equation. These factors are: -6x and -36x

Now we can write the above equation as:

9x^2 - 42x + 24 = 0

9x^2 - 6x - 36x + 24 = 0

3x(3x - 2) - 12(3x - 2) = 0

(3x - 12)(3x - 2) = 0

3x - 12 = 0 or 3x - 2 = 0

3x = 12 or 3x = 2

x = 12/3 or x = 2/3

x = 4 or 2/3.

We can see that when we solve the question without squaring both side, the value of x is 2/3. But when we solve by squaring both side, the value of x are 4 and 2/3.

Therefore, the extraneous solution to the question is 4.

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