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How do you simplify #(x^2/t)^3# and write it using only positive exponents?

1 Answer

MathFact-orials.blogspot.com

Sep 17, 2016

#(x^2/t)^3=x^(2xx3)/t^(1xx3)=x^6/t^3#

Explanation:

Remember that #(x^a)^b=x^(ab)#

and just for fun, let's check:

#(2^2)^3=4^3=64 and (2^2)^3=2^(2xx3)=2^6=64#

So in the question:

#(x^2/t)^3# we are cubing the top and bottom, like so:

#(x^2/t)^3=x^(2xx3)/t^(1xx3)=x^6/t^3#

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