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Simplify. Express your answer using positive exponents.\newline9s23s⋅s\frac{9s^2}{3s \cdot s}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline9s23s⋅s\frac{9s^2}{3s \cdot s}
  1. Write Expression and Group: Write down the expression and group the coefficients and variables. 9s23s⋅s\frac{9s^2}{3s \cdot s} can be written as (93)⋅(s2s1⋅s1)(\frac{9}{3}) \cdot (\frac{s^2}{s^1 \cdot s^1}).
  2. Simplify Coefficients: Simplify the coefficients. 93\frac{9}{3} equals 33.
  3. Simplify Variables: Simplify the variables using the laws of exponents.\newlineWhen dividing powers with the same base, we subtract the exponents.\newlines2/s1/s1s^2/s^1/s^1 is the same as s(2−1−1)s^{(2-1-1)}.
  4. Calculate Exponent: Calculate the exponent for ss. s2−1−1s^{2-1-1} equals s0s^{0}.
  5. Recall Exponent Rule: Recall that any non-zero number raised to the power of 00 is 11. s0s^0 equals 11.
  6. Combine Coefficients and Variables: Combine the simplified coefficients and variables. 3×s03 \times s^0 equals 3×13 \times 1, which is 33.

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