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Leona [35]
3 years ago
5

Simplify (a^8a^6)^1/7 /a^2

Mathematics
1 answer:
Ratling [72]3 years ago
5 0
<span><span>a8a6)1/7/a2</span> </span>Final result :<span> a12 ——— 7 </span>Step by step solution :<span>Step  1  :</span> 1 Simplify — 7 Skip Ad
<span>Equation at the end of step  1  :</span><span> 1 ((a8) • (a6)) • — ÷ a2 7 </span><span>Step  2  :</span><span> 1 Divide — by a2 7 </span><span>Equation at the end of step  2  :</span><span><span> 1 ((a8) • (a6)) • ——— 7a2 </span><span> Step  3  :</span></span>Dividing exponential expressions :

<span> 3.1 </span>  <span> a14</span> divided by <span>a2 = a(14 - 2) = a12</span>

Final result :<span> a12 ——— 7 </span><span>
</span>
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Which set of numbers correctly shows all of the factors of 28? 1, 2, 4, 7, 14, 28 1, 2, 7, 14, 28 0, 1, 7, 14, 28 1, 2, 4, 7, 8,
slega [8]

Answer:

1, 2, 4, 7, 14, 28

Step-by-step explanation:

Factors of 28 are the numbers that divide into 28 evenly.

1, 2, 4, 7, 14, 28

3 0
3 years ago
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Expand a logarithmic expression
ivanzaharov [21]

The logarithmic expression is

log (\sqrt{z^5}/(x^3y))

To expand the expression we have to use some properties of logarithm.

We know that log(m/n) = log (m) - log(n)

By using this property we can write,

log(\sqrt{z^5}) - log(x^3y)

Square root means to the power 1/2, so for \sqrt{z^5}, we can write z^(5/2).

log(z^(5/2)) - log(x^3y)

Now we have to use another property of logarithm.

We know that, log(mn) = log(m) + log(n)

So we will use this property to log(x^3y)

log(z^(5/2)) - log(x^3y)

log(z^(5/2)) - (log(x^3) + log(y))

log(z^(5/2)) - log(x^3) - log(y)

Now we have to use another property of logarithm.

We know that, log(a^m) = m log(a)

By using this property we can write,

(5/2)log(z) - 3log(x) - log(y)

This is the required aswer here.

8 0
3 years ago
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Which two ratios form a proportion? A) 1 : 3 and 6 : 3 B) 1 : 3 and 3 : 6 C) 3 : 1 and 9 : 3 D) 3 : 1 and 3 : 9
tamaranim1 [39]

Answer:

c

Step-by-step explanation:

you have to set them up as a fraction and see if they are an equivalent fraction and if they are thats the proportion

4 0
3 years ago
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I will mark BRAINLIEST and yu get 10 points
jolli1 [7]

Answer:

the answer is C!

8 0
3 years ago
Which point is on the graph of the equation y = 4x - 3?
Mandarinka [93]

Answer:

D. (2, 5)

Step-by-step explanation:

In order to determine whether an ordered pair is on the graph of a given equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.

Let's try each of the answer choices:

A. (4, -3)

y = 4x - 3

-3 =? 4 * 4 - 3

-3 =? 16 - 3

-3 =? 13

This is clearly wrong, so eliminate A.

B. (3, 4)

y = 4x - 3

4 =? 4 * 3 - 3

4 =? 12 - 3

4 =? 9

This is clearly wrong, so eliminate B.

C. (1, -1)

y = 4x - 3

-1 =? 4 * 1 - 3

-1 =? 4 - 3

-1 =? 1

This is clearly wrong, so eliminate C.

D. (2, 5)

y = 4x - 3

5 =? 4 * 2 - 3

5 =? 8 - 3

5 =? 5

This is true, so D is the answer.

Our answer is thus D.

<em>~ an aesthetics lover</em>

7 0
3 years ago
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