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makkiz [27]
4 years ago
14

Simplify m^2 n^-5/m^1 n^-17

Mathematics
1 answer:
Law Incorporation [45]4 years ago
6 0

Answer:

The simplified form is mn^{12}

Step-by-step explanation:

To simplify the expression given we, need to open up all the brackets.

The brackets is open is such a way that the powers are also separated individually.

Now the expression that is given to us is:

Here we will simplify it, as follows:

\frac{m^2 n^{-5}}{m^1 n^{-17}}\\=\frac{mn^{-5}}{n^{-17}}\\

as we know that:

\frac{x^a}{x^b}=x^{a-b}

Now, the expression is simplified as:

\frac{n^{-5}}{n^{-17}}\\=n^{-5-\left(-17\right)}\\=mn^{12}

So this is the required simplified form.

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