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Popular >

simplify (-3xy^3)^3

Solution

simplify

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

Solution

- 27 x^{3} y^{9}

Solution steps

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

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

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

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

3^{3} = 27

= - 27 x^{3} (y^{3})^{3}

Simplify

(y^{3})^{3} : y^{9}

= - 27 x^{3} y^{9}

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Frequently Asked Questions (FAQ)

What is (-3xy^3)^3 ?
The solution to (-3xy^3)^3 is -27x^3y^9