What is ((8/(9t))/(1/(3st)))*s/4 ?

The solution to ((8/(9t))/(1/(3st)))*s/4 is (2s^2)/3

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simplify ((8/(9t))/(1/(3st)))*s/4

simplify

(\frac{\frac{8}{9 t}}{\frac{1}{3 s t}}) \cdot \frac{s}{4}

\frac{2 s ^{2}}{3}

Solution steps

(\frac{\frac{8}{9 t}}{\frac{1}{3 s t}}) \frac{s}{4}

Apply rule:

(a) = a

(\frac{\frac{8}{9 t}}{\frac{1}{3 s t}}) = \frac{\frac{8}{9 t}}{\frac{1}{3 s t}}

= \frac{\frac{8}{9 t}}{\frac{1}{3 s t}} \cdot \frac{s}{4}

Simplify

\frac{\frac{8}{9 t}}{\frac{1}{3 s t}} : \frac{8 s}{3}

= \frac{8 s}{3} \cdot \frac{s}{4}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{8 ss}{3 \cdot 4}

Apply exponent rule:

aa = a^{2}

ss = s^{2}

= \frac{8 s ^{2}}{3 \cdot 4}

Cancel

\frac{8 s ^{2}}{3 \cdot 4} : \frac{2 s ^{2}}{3}

= \frac{2 s ^{2}}{3}

\frac{50 !}{48 !}

x^{4} + 6 x^{3} - 16 x^{2} - 54 x + 63

3 y^{2} - 2 y - 5

2 b^{2} + 16 b = 4

7 n^{2} + 20 n - 32

What is ((8/(9t))/(1/(3st)))*s/4 ?
The solution to ((8/(9t))/(1/(3st)))*s/4 is (2s^2)/3