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Simplify. Express your answer using positive exponents.\newline4j94j\frac{4j^9}{4j}

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Q. Simplify. Express your answer using positive exponents.\newline4j94j\frac{4j^9}{4j}
  1. Write Expression Groups: Write down the expression and group the coefficients and powers that have the same base.\newlineThe expression is 4j9/4j4j^9/4j. We can group the coefficients (4/4)(4/4) and the powers of jj (j9/j)(j^9/j).
  2. Simplify Coefficients: Simplify the coefficients. 44\frac{4}{4} equals 11, since any number divided by itself is 11.
  3. Simplify Powers of j: Simplify the powers of j. When dividing powers with the same base, subtract the exponents: j9/j=j91=j8j^9/j = j^{9-1} = j^8.
  4. Combine Coefficients and Powers: Combine the simplified coefficients and powers of jj. Since the coefficient is 11, it does not need to be written, and we are left with j8j^8.
  5. Write Final Expression: Write the final simplified expression.\newlineThe expression 4j94j\frac{4j^9}{4j} simplifies to j8j^8.

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