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Simplify. Express your answer using positive exponents. \newline6j8(3j)(j)\frac{6j^8}{(3j)(j)}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline6j8(3j)(j)\frac{6j^8}{(3j)(j)}
  1. Divide and Subtract: Simplify the expression by dividing the coefficients and subtracting the exponents.\newlineThe expression 6j83j(j)\frac{6j^8}{3j(j)} can be simplified by dividing the numerical coefficients (66 divided by 33) and using the quotient rule for exponents (subtracting the exponents of like bases).\newline6j83j(j)=(63)⋅j(8−1−1)\frac{6j^8}{3j(j)} = (\frac{6}{3}) \cdot j^{(8-1-1)}
  2. Perform Operations: Perform the division and subtraction. 63⋅j8−1−1=2⋅j8−2\frac{6}{3} \cdot j^{8-1-1} = 2 \cdot j^{8-2}
  3. Simplify Exponent: Simplify the exponent. 2×j8−2=2×j62 \times j^{8-2} = 2 \times j^6
  4. Final Expression: Write the final simplified expression.\newlineThe final simplified expression is 2j62j^6.

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