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Finger [1]
3 years ago
11

Plz help!!!!!!!!!!!!

Mathematics
2 answers:
neonofarm [45]3 years ago
5 0

Answer:

Step-by-step explanation:

Let's just see what happens if we do

(-32)^(1/5)

That means what number do you start with that when multiplied 5 times gives you - 32?

The answer is - 2

-2 * - 2 * -2 * -2 * -2 = -32

Now when you have a root sign that goes to the 1/5 power, you can take out 1 of the factors and throw the other 4 away.

\sqrt[5]{-2 * - 2 * - 2 * -2 * -2} = - 2 take one - 2 from under the root sign and throw the other 4 away

That's not the answer. We have one more step.

What is -2 to the 3rd power.

(-2)^3 = - 8

So the answer is -8

\sqrt[5]{- 32}^3 = -8

sergejj [24]3 years ago
4 0

Answer:

-8

Step-by-step explanation:

(-32)^(3/5) is equivalent to (-2^5)^(3/5) and applying exponent rules then simplifying you can get your answer.

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Answer:

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Step-by-step explanation:

Fact:

\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}.

In other words, (a^{2} - b^{2}), the difference of two squares in the form a^{2} and b^{2}, could be factorized into (a - b)\, (a + b).

In this question, the expression (9\, w^{2} - 100) is the difference between two terms: 9\, w^{2} and 100.

  • 9\, w^{2} is the square of 3\, w. That is: (3\, w)^{2} = 9\, w^{2}.
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Hence:

9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}.

Apply the fact that a^{2} - b^{2} = (a - b) \, (a + b) to factorize this expression. (In this case, a = 3\, w whereas b = 10.)

\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}.

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Answer:

To write 6.716 as a fraction you have to write 6.716 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

6.716 = 6.716/1 = 67.16/10 = 671.6/100 = 6716/1000

And finally we have:  

6.716 as a fraction equals 6716/1000

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Step-by-step explanation:

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