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

Plz help!!!!!!!!!!!!-example-1

2 Answers

2 votes

Answer:

-8

Explanation:

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

User Axazeano
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5.8k points
3 votes

Answer:

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

User Chris Van De Steeg
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5.4k points