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Simplify. Express your answer using positive exponents.\newline(8s8)(2s)s\frac{(8s^8)(2s)}{s}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline(8s8)(2s)s\frac{(8s^8)(2s)}{s}
  1. Multiply Coefficients and Variables: Multiply the coefficients (numbers) and the variables with exponents separately.\newline8×2=168 \times 2 = 16\newlines8×s=s8+1=s9s^8 \times s = s^{8+1} = s^9\newlineSo, (8s8)(2s)=16s9(8s^8)(2s) = 16s^9
  2. Divide by ss: Divide the result by ss.
    16s9s\frac{16s^9}{s}
    When we divide powers with the same base, we subtract the exponents.
    s9s=s9−1=s8\frac{s^9}{s} = s^{9-1} = s^8
    So, 16s9s=16s8\frac{16s^9}{s} = 16s^8
  3. Ensure Positive Exponents: Ensure that all exponents are positive. The exponent of ss in the final answer is 88, which is already positive.

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