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Simplify. Express your answer using positive exponents. \newline6s(3s)(s2)\frac{6s}{(3s)(s^2)}

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Q. Simplify. Express your answer using positive exponents. \newline6s(3s)(s2)\frac{6s}{(3s)(s^2)}
  1. Write Expression, Identify Like Terms: Write down the given expression and identify like terms.\newlineThe given expression is 6s(3s)(s2)\frac{6s}{(3s)(s^2)}. We can see that there are like terms in the numerator and the denominator that can be simplified.
  2. Simplify Coefficients, Cancel Terms: Simplify the coefficients and cancel out common terms.\newlineWe have the coefficient 66 in the numerator and 33 in the denominator. We can simplify this by dividing 66 by 33.\newline6/3=26 / 3 = 2\newlineNow we have 22s in the numerator.
  3. Cancel Common 's' Terms: Cancel out the common 's' terms.\newlineSince we have 'ss' in both the numerator and the denominator, we can cancel one 'ss' from the numerator and one 'ss' from the denominator.\newlineThis leaves us with 22 in the numerator and s2s^2 in the denominator.
  4. Write Simplified Expression: Write down the simplified expression.\newlineAfter canceling out the common terms, we are left with:\newline2s2\frac{2}{s^2}\newlineThis is the simplified expression with positive exponents.

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