What is 4s over 3t to the negative 2nd power times 2s over 6t to the 2nd power? The format is a bit weird .

((4s)/(3t))^(-2) xx ((2s)/(6t))^2enter image source here

1 Answer
Apr 18, 2018

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Explanation:

((4s)/(3t))^(-2)*((2s)/(6t))^2

First when given a negative exponent, I reciprocate the expression and make the exponent positive, so:

((3t)/(4s))^(2)*((2s)/(6t))^2

(3t)^2/(4s)^2*(2s)^2/(6t)^2

((3t)(3t))/((4s)(4s))*((2s)(2s))/((6t)(6t))

(9t^2)/(16s^2)*(4s^2)/(36t^2)

Cross simplify:

(cancel(9t^2))/(cancel(16s^2)4)*(cancel(4s^2))/(cancel(36t^2)4)=

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