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Vedmedyk [2.9K]
3 years ago
15

Assignment

Mathematics
2 answers:
Katen [24]3 years ago
8 0

Answer: sample 1 and 2

Step-by-step explanation:

i do the quiz

Neko [114]3 years ago
3 0

Answer: sample 1 and 2

Step-by-step explanation:

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Can some please help with this I will give brainliest.​
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x^{-28}*7^{-56}

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Firstly, you need to know that raising a fraction to a power raises both the top and the bottom to that power.

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Find the value of a given <img src="https://tex.z-dn.net/?f=5%5Ea%5C%5C" id="TexFormula1" title="5^a\\" alt="5^a\\" align="absmi
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A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.

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_____

<em>Additional comment</em>

You can see the relationship between a root index and an exponent if you consider what the root means.

Consider a cube root, for example. When you cube the root, you get the original number:

  (∛x)·(∛x)·(∛x) = x

Now, let's write the root as a power of x: x^a.

  (x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x

We know this product is ...

  x^(a+a+a) = x^(3a) = x^1

This tells us that ...

  3a = 1   ⇒   a = 1/3

That is, ∛x = x^(1/3).

Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).

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