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

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Answer 1 · 2016-09-17T15:04:13

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

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:

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

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