What is (2x^4y)^4(-3x^4y^3) ?

The solution to (2x^4y)^4(-3x^4y^3) is -48x^{20}y^7

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simplify (2x^4y)^4(-3x^4y^3)

simplify

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

- 48 x^{20} y^{7}

Solution steps

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

Apply rule:

a (- b) = - ab

(2 x^{4} y)^{4} (- 3 x^{4} y^{3}) = - (2 x^{4} y)^{4} \cdot 3 x^{4} y^{3}

= - (2 x^{4} y)^{4} \cdot 3 x^{4} y^{3}

= - 3 (2 x^{4} y)^{4} x^{4} y^{3}

Simplify

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

= - 3 \cdot 16 x^{16} y^{4} x^{4} y^{3}

Multiply the numbers:

- 3 \cdot 16 = - 48

= - 48 x^{16} y^{4} x^{4} y^{3}

Simplify

x^{16} x^{4} : x^{20}

= - 48 x^{20} y^{4} y^{3}

Simplify

y^{4} y^{3} : y^{7}

= - 48 x^{20} y^{7}

\frac{x}{x + 1} + \frac{2 x - 3}{x - 1}

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

\frac{6}{7} \div 2

\frac{x ^{2} - 5 x + 6}{x ^{2} - 8 x + 15}

3^{3} \cdot 3^{5}

What is (2x^4y)^4(-3x^4y^3) ?
The solution to (2x^4y)^4(-3x^4y^3) is -48x^{20}y^7