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(6p^(4)st^(5))/(9p^(3)s^(2))

6p4st59p3s2 \frac{6 p^{4} s t^{5}}{9 p^{3} s^{2}}

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Full solution

Q. 6p4st59p3s2 \frac{6 p^{4} s t^{5}}{9 p^{3} s^{2}}
  1. Identify Factors: Identify the common factors in the numerator and the denominator to simplify. (6p4st5)/(9p3s2)=(6/9)⋅(p4/p3)⋅(s/s2)⋅(t5)(6p^{4}st^{5})/(9p^{3}s^{2}) = (6/9) \cdot (p^{4}/p^{3}) \cdot (s/s^{2}) \cdot (t^{5})
  2. Simplify Coefficients and Powers: Simplify the coefficients and the powers of pp, ss, and tt. 69\frac{6}{9} simplifies to 23\frac{2}{3}, p4/p3p^{4}/p^{3} simplifies to p1p^{1} or just pp, s/s2s/s^{2} simplifies to 1s\frac{1}{s}, and ss00 remains the same. ss11
  3. Write Simplified Expression: Write the simplified expression.\newline(23)⋅p⋅(1s)⋅t5=2p⋅t53s(\frac{2}{3}) \cdot p \cdot (\frac{1}{s}) \cdot t^{5} = \frac{2p \cdot t^{5}}{3s}

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