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Simplify. Express your answer using positive exponents.\newline8j2j3\frac{8j}{2j^3}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline8j2j3\frac{8j}{2j^3}
  1. Write Expression: Write down the expression to be simplified. 8j2j3\frac{8j}{2j^3}
  2. Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression.\newlineDivide 88 by 22.\newline82=4\frac{8}{2} = 4
  3. Apply Quotient Rule: Apply the quotient rule for exponents to simplify the variable part of the expression.\newlineThe quotient rule states that when dividing like bases, you subtract the exponents.\newlinejj3=j(1−3)=j−2\frac{j}{j^3} = j^{(1-3)} = j^{-2}
  4. Express with Positive Exponents: Express the answer with positive exponents.\newlineSince we have j−2j^{-2}, we can rewrite it as 1/j21/j^2 to have a positive exponent.\newline4×(1/j2)=4/j24 \times (1/j^2) = 4/j^2

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