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igomit [66]
3 years ago
14

Can somebody explain step by step ?

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer:

3m\sqrt[5]{2m^4p^4}

Step-by-step explanation:

We want to find the fifth root of 486m^9p^4. In order to do so, we need to factorise

Let's factorise 486 first:

486 = 2 * 243 = 2 * 3^5

Ah, we see that 3^5 can be taken out and becomes 3 outside of the 5th root since the 5th root of

Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.

We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.

Our final answer is thus: 3m\sqrt[5]{2m^4p^4}.

<em>~ an aesthetics lover</em>

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