What is (-4x^4y^5)^4 ?

The solution to (-4x^4y^5)^4 is 256x^{16}y^{20}

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

simplify

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

256 x^{16} y^{20}

Solution steps

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

Apply exponent rule:

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

n

is even

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

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

Apply exponent rule:

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

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

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

4^{4} = 256

= 256 (x^{4})^{4} (y^{5})^{4}

Simplify

(x^{4})^{4} : x^{16}

= 256 x^{16} (y^{5})^{4}

Simplify

(y^{5})^{4} : y^{20}

= 256 x^{16} y^{20}

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