Mathematics: 1. Which expression is equivalent to 60m 2n6 for all values of m and n where the 5m-on-2 expression is defined? A. 12mns 12n B D. 55m?n mo

1. Which expression is equivalent to 60m 2n6 - id1602612511604, tylerbesson1

kev71

11.05.2021

Given:

The expression is:

$\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}$

To find:

The equivalent expression.

Solution:

We have,

$\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}$

It can be written as:

$=\dfrac{60}{5}\times \dfrac{m^{-2}}{m^{-4}}\times \dfrac{n^6}{n^{-2}}$

$=12\times m^{-2-(-4)}\times n^{6-(-2)}$ $[\because \dfrac{a^m}{a^n}=a^{m-n}]$

$=12\times m^{-2+4}\times n^{6+2}$

$=12m^{2}n^{8}$

Therefore, the correct option is A.

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dri16947

02.05.2021

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Step-by-step explanation:

Please tell me

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