jenjiuhi94 jenjiuhi94
  • 24-11-2020
  • Mathematics
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in the equation (m^5/6) (m^1/6)^7 = m^x , what is the value of x that makes the equation true?

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umairkazi924
umairkazi924 umairkazi924
  • 25-11-2020

[tex] {m}^{ \frac{5}{6} } \times (m {}^{ \frac{1}{6} } ) {}^{7 } = m {}^{x} [/tex]

[tex]m {}^{ \frac{5}{6} } \times m {}^{ \frac{7}{6} } = m {}^{x} [/tex]

[tex] {m}^{ \frac{5 \times 7}{6 \times 6} } = {m}^{x} [/tex]

[tex] \frac{35}{36} = x[/tex]

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