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Simplify. Express your answer using positive exponents. \newline3r53r9⋅r3\frac{3r^5}{3r^9 \cdot r^3}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline3r53r9⋅r3\frac{3r^5}{3r^9 \cdot r^3}
  1. Simplify Denominator: Step 11: Simplify the denominator by multiplying the exponents of rr.3r9×r3=3r(9+3)=3r123r^9 \times r^3 = 3r^{(9+3)} = 3r^{12}
  2. Divide Numerator: Step 22: Divide the numerator by the simplified denominator. 3r5(3r12)=(33)∗r(5−12)=r−7\frac{3r^5}{(3r^{12})} = \left(\frac{3}{3}\right) * r^{(5-12)} = r^{-7}
  3. Express Answer: Step 33: Express the answer using positive exponents.\newliner−7=1r7r^{-7} = \frac{1}{r^7}

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