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Popular >

expand (-2x^2y^3)^4

Solution

expand

(- 2 x^{2} y^{3})^{4}

Solution

16 x^{8} y^{12}

Solution steps

(- 2 x^{2} y^{3})^{4}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 2 x^{2} y^{3})^{4} = (2 x^{2} y^{3})^{4}

= (2 x^{2} y^{3})^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 2^{4} (x^{2})^{4} (y^{3})^{4}

(x^{2})^{4} : x^{8}

= 2^{4} x^{8} (y^{3})^{4}

(y^{3})^{4} : y^{12}

= 2^{4} x^{8} y^{12}

2^{4} = 16

= 16 x^{8} y^{12}

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Frequently Asked Questions (FAQ)

What is expand (-2x^2y^3)^4 ?
The solution to expand (-2x^2y^3)^4 is 16x^8y^{12}