5t^3/4s divided by 16s^2/25t^3 multiplied by 16s/25t^3.
If you could, I would like a step by step elaboration.
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In order to perform the division we just need to multiply the fraction of the top by the flipped fraction of the bottom like this:
((5t^3/4s)/(16s^2/25t^3))*(16s/25t^3) = (5t^3/4s)*(25t^3/16s^2)*(16s/25t^3)
Then let's notice that we can cancel out somethings.
The 16's and the 25t^3's would cancel out, so then we would have the following:
After this, we multiply all what we have on the top over the multiplication of all the expressions of the bottom.
(5t^3/4s)*(1/s^2)*(s) = (5t^3 * 1 * s)/(4s * s^2) = 5t^3s/(4s*s^3)
Then let's notice that the s's can cancel out.
5t^3s/(4s*s^3) = 5t^3/4s^3
Since the t and s are raised to the power 3 then we can rewrite it like t over s all raised to the power 3 like this.
5t^3/4s^3 = 5/4(t/s)^3
So we can write 5t^3/4s^3 or 5/4(t/s)^3.
Final asnwer: 5t^3/4s^3 or 5/4(t/s)^3
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