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Popular >

simplify (-4x^3y^3)^5

Solution

simplify

(- 4 x^{3} y^{3})^{5}

Solution

- 1024 x^{15} y^{15}

Solution steps

(- 4 x^{3} y^{3})^{5}

Apply exponent rule:

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

if

n

is odd

(- 4 x^{3} y^{3})^{5} = - (4 x^{3} y^{3})^{5}

= - (4 x^{3} y^{3})^{5}

Apply exponent rule:

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

(4 x^{3} y^{3})^{5} = 4^{5} (x^{3})^{5} (y^{3})^{5}

= - 4^{5} (x^{3})^{5} (y^{3})^{5}

4^{5} = 1024

= - 1024 (x^{3})^{5} (y^{3})^{5}

Simplify

(x^{3})^{5} : x^{15}

= - 1024 x^{15} (y^{3})^{5}

Simplify

(y^{3})^{5} : y^{15}

= - 1024 x^{15} y^{15}

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Frequently Asked Questions (FAQ)

What is (-4x^3y^3)^5 ?
The solution to (-4x^3y^3)^5 is -1024x^{15}y^{15}