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Popular >

expand (-3ab^3)^2

Solution

expand

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

Solution

9 a^{2} b^{6}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

(b^{3})^{2} : b^{6}

= 3^{2} a^{2} b^{6}

3^{2} = 9

= 9 a^{2} b^{6}

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Frequently Asked Questions (FAQ)

What is expand (-3ab^3)^2 ?
The solution to expand (-3ab^3)^2 is 9a^2b^6