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Simplify. Express your answer using positive exponents. \newline6s86s\frac{6s^8}{6s}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline6s86s\frac{6s^8}{6s}
  1. Write Expression: Write down the given expression.\newlineThe given expression is 6s86s\frac{6s^8}{6s}.
  2. Divide and Subtract: Simplify the expression by dividing the coefficients and subtracting the exponents of like bases.\newlineSince the bases are the same ss, we subtract the exponents when dividing.\newline6s86s=66×s8s1\frac{6s^8}{6s} = \frac{6}{6} \times \frac{s^8}{s^1}
  3. Simplify Coefficients: Simplify the coefficients.\newline66=1\frac{6}{6} = 1.\newline(66)⋅(s8s1)=1⋅(s8s1)\left(\frac{6}{6}\right) \cdot \left(\frac{s^8}{s^1}\right) = 1 \cdot \left(\frac{s^8}{s^1}\right)
  4. Subtract Exponents: Subtract the exponents of ss. s8s1=s8−1=s7\frac{s^8}{s^1} = s^{8-1} = s^7
  5. Combine Results: Combine the results of steps 33 and 44.\newline1×s7=s71 \times s^7 = s^7
  6. Final Expression: Write the final simplified expression.\newlineThe expression 6s86s\frac{6s^8}{6s} simplifies to s7s^7.

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