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Popular >

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

Solution

simplify

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

Solution

81 x^{12} y^{16}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

3^{4} = 81

= 81 (x^{3})^{4} (y^{4})^{4}

Simplify

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

= 81 x^{12} (y^{4})^{4}

Simplify

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

= 81 x^{12} y^{16}

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Frequently Asked Questions (FAQ)

What is (-3x^3y^4)^4 ?
The solution to (-3x^3y^4)^4 is 81x^{12}y^{16}