How do you use the laws of exponents to simplify the expression $(-2x^2y)^3(5xy^3)^2$ ?

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Answer 1 · 2018-04-19T13:04:31

$-200x^8y^9$

$(x^a)^b = x^(a" x "b)$

So,

$-8x^6y^3 " x "25x^2y^6$

$x^a " x " x^b = x^(a + b)$

$-200x^8y^9$

How do you use the laws of exponents to simplify the expression (-2x^2y)^3(5xy^3)^2(-2x^2y)^3(5xy^3)^2?