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Simplify. Express your answer using positive exponents. \newline3p(3p9)(p8)\frac{3p}{(3p^9)(p^8)}

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Q. Simplify. Express your answer using positive exponents. \newline3p(3p9)(p8)\frac{3p}{(3p^9)(p^8)}
  1. Identify and Simplify: Identify and simplify the expression by combining the terms in the denominator. \newline3p3p9⋅p8\frac{3p}{3p^9 \cdot p^8}\newlineGroup the pp terms together.\newline3p3⋅p9⋅p8\frac{3p}{3 \cdot p^9 \cdot p^8}
  2. Group and Rewrite: Simplify the powers of pp in the denominator by adding the exponents.p9×p8=p(9+8)=p17p^9 \times p^8 = p^{(9+8)} = p^{17}Now, rewrite the expression.3p3×p17\frac{3p}{3 \times p^{17}}
  3. Divide and Simplify: Simplify the expression by dividing the terms.\newline3p3p17=33×pp17=1×p1−17=p−16\frac{3p}{3p^{17}} = \frac{3}{3} \times \frac{p}{p^{17}} = 1 \times p^{1-17} = p^{-16}
  4. Express with Positive Exponents: Express the final answer using positive exponents.\newlineSince the exponent is negative, rewrite it with a positive exponent.\newlinep−16=1p16p^{-16} = \frac{1}{p^{16}}

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