How do you simplify #((2s^-1t^3)/(6s^2t^-4))^-3#?

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Answer 1 · 2016-09-05T04:45:54

Start by getting rid of the exponent on the outside.

#=((6s^2t^-4)/(2s^-1t^3))^3#

Use the quotient rule #(a^n/a^m = a^(n - m))# and division to simplify further.

#=(3s^3t^-7)^3#

Use the power rule #(a^n)^m = a^(n xx m)# to simplify.

#=27s^9t^-21#

#=(27s^9)/(t^21)#

Hopefully this helps!