What is expand (3x^2)^a(-2xy)^b ?

The solution to expand (3x^2)^a(-2xy)^b is 3^a(x^2)^a(-2xy)^b

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expand (3x^2)^a(-2xy)^b

expand

(3 x^{2})^{a} (- 2 x y)^{b}

3^{a} (x^{2})^{a} (- 2 x y)^{b}

Solution steps

(3 x^{2})^{a} (- 2 x y)^{b}

Apply exponent rule:

(ab)^{c} = a^{c} b^{c}

(3 x^{2})^{a} = 3^{a} (x^{2})^{a}

= 3^{a} (x^{2})^{a} (- 2 x y)^{b}

(x - a)^{2} \cdot (x + a)^{2}

(6 x^{3} y) (\frac{1}{2} x y^{4})

3 cos (t) e^{- 2 s}

t^{^{'}}

e^{- s t} cos (a t)

What is expand (3x^2)^a(-2xy)^b ?
The solution to expand (3x^2)^a(-2xy)^b is 3^a(x^2)^a(-2xy)^b