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Simplify. Express your answer using positive exponents.\newline5r5r6\frac{5r}{5r^6}

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Q. Simplify. Express your answer using positive exponents.\newline5r5r6\frac{5r}{5r^6}
  1. Write Given Expression: Write down the given expression and identify the common terms in the numerator and the denominator.\newlineThe given expression is 5r5r6\frac{5r}{5r^6}. We can see that both the numerator and the denominator have the common term 5r5r.
  2. Cancel Common Terms: Simplify the expression by canceling out the common terms.\newlineWe can cancel out the 5r5r in the numerator with one of the rr's in the denominator, since 5r65r^6 is the same as 5rr55r\cdot r^5.\newline5r5r6=(5r5)\frac{5r}{5r^6} = \left(\frac{5}{r^5}\right)
  3. Final Simplified Expression: Write the final simplified expression using positive exponents.\newlineSince we have rr to the power of 55 in the denominator, we can express the answer with a positive exponent as r5r^{-5}.\newline(5r5)=5r5(\frac{5}{r^5}) = 5r^{-5}