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Rasek [7]
3 years ago
6

Can someone explain these please?

Mathematics
1 answer:
Dominik [7]3 years ago
8 0
5.
-4=r/20-5

First add 5 to both sides
1=r/20

Then multiply both sides by 20
20=r

Final answer: r=20

7.
(v+9)/3=8

First multiply both sides by 3
v+9= 24

Subtract 9 from both sides
v=15

Final answer: v=15
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Question

Which expression is equivalent to \frac{4mn}{m^{-2}n^6}. Assuming m \neq 0; n\neq 0

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Step-by-step explanation:

Given

\frac{4mn}{m^{-2}n^6}

Required:

Simplify

To simplify this, we start by splitting each individual function

\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}

From laws of indices

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SO, the above expression can also be expressed the same way

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So,

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\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}

Hence, \frac{4mn}{m^{-2}n^6} is equivalent to \frac{4m^3}{n^5}

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