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If $x^{52}=x^{-4}\cdot r^7$ then what will be the value of $r$?

DonAntonio
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Mad Dawg
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  • Please fix your math notation. Currently it's incomprehensible. Are you using MathJax? – Matti P. Oct 23 '18 at 06:32
  • Since $x^{-4}$ couldn't make sense if $x=0$ we can safely assume that $x\neq 0$. Multiply both sides by $x^4$ then to arrive at the equality $x^{56}=r^7$. Continue. – JMoravitz Oct 23 '18 at 06:39

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Multiplying by $$x^4\neq 0$$ we get $$x^{56}=r^7$$ so $$r=\sqrt[7]{x^{56}}$$