sdboich sdboich
  • 10-09-2018
  • Mathematics
contestada

How to simplify [tex]\frac{1}{x^5}*x^34[/tex]?

Respuesta :

r3t40
r3t40 r3t40
  • 10-09-2018
Hi,

Work:

[tex] \frac{1}{ {x}^{5} } \times {x}^{34}[/tex]

Reduce the expression with x5.

[tex] \frac{1}{ {x}^{29} } [/tex]

Hope this helps.
r3t40
Answer Link
jdoe0001 jdoe0001
  • 11-09-2018

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{x^{34}}{x^5}\implies x^{34}\cdot x^{-5}\implies x^{34-5}\implies x^{29}[/tex]

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