Mathematics: Which expression is equivalent to 10x^6y^12/-5x^-2y^-6? a) -50x^8y^18 b)-2x^8y^18 c) -2x^12y^72 d)5x^8y^18

Which expression is equivalent to 10x^6y^12/-5x^-2y^-6?

Ответ:

hinokayleen5053

06.01.2022

Mathematics

Option 'B' is correct.

Step-by-step explanation:

Since we have given that

$\frac{10x^6y^{12}}{-5x^-2y^-6}$

We will use two rules :

$a^m\times a^n=a^{m+n}\\\\and,\\\\a^m\div a^n=a^{m-n}$

So, it will become,

$\frac{10x^6y^{12}}{-5x^{-2}y^{-6}}\\\\\frac{10}{-5}\times \frac{x^6}{x^{-2}}\times \frac{y^{12}}{y^{-6}}\\\\=-2\times x^{6-(-2)}\times y^{12-(-6)}\\\\=-2x^{6+2}\times y^{12+6}\\\\=-2x^{8}y^{18}$

Hence, Option 'B' is correct.

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Ответ:

citlalli30

11.10.2021

Mathematics

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Step-by-step explanation:

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Which expression is equivalent to 10x^6y^12/-5x^-2y^-6?

a) -50x^8y^18
b)-2x^8y^18
c) -2x^12y^72
d)5x^8y^18

Ответ:

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