emmarose4404
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  • 09-10-2020
  • Mathematics
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Respuesta :

Ashena Ashena
  • 09-10-2020

Answer:

2) [tex]\frac{1}{\sqrt[6]m^{5}}[/tex]

Step-by-step explanation:

As per the laws of indices:

[tex]\frac{x^{a} }{x^{b} } = x^{a - b} \\\\and \\ \\(x^{a})^b = x^{ab}[/tex]

Therefore:

2-(1/3) = 5/3

So m ^(5/3)

5/3 multiplied by -1/2 = -5/6

so m^(-5/6)

Another law of indices:

[tex]x^{\frac{a}{y} } = \sqrt[y]{x^{a} }[/tex]     and when there is something raised to a negative fraction do the reciprocal.

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