How do you simplify $(x^2 * y^3) ^5$ ?

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Answer 1 · 2017-03-16T00:48:12

$x^{10}y^{15}$

Know that: $(x^ay^b)^c -> (x^(a*c)y^(b*c))$

So in this example, all we have to do is distribute the $5$ to each of the exponents such as,

$(x^2y^3)^5 -> (x^(2*5)y^(3*5)) = (x^10y^15)$

How do you simplify (x^2 * y^3) ^5(x^2 * y^3) ^5?