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

The solution to simplify-3x(2x^2)^3(-x^2)^4 is -24x^{15}

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

simplify

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

- 24 x^{15}

Solution steps

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

Simplify

(2 x^{2})^{3} : 8 x^{6}

= - 3 x \cdot 8 x^{6} (- x^{2})^{4}

Simplify

(- x^{2})^{4} : x^{8}

= - 3 x \cdot 8 x^{6} x^{8}

Multiply the numbers:

- 3 \cdot 8 = - 24

= - 24 x x^{6} x^{8}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{6} x^{8} = x^{1 + 6 + 8}

= - 24 x^{1 + 6 + 8}

Add the numbers:

1 + 6 + 8 = 15

= - 24 x^{15}

(3 x^{2} - 10 x - 2) - (6 x + 3)

(x^{2} + 2 x + 8) + (- x^{2} - 3 x - 7)

136 x

\frac{sin ( x ) tan ( x )}{cos ( x )}

(3 x^{2} - 8 x + 5) + (8 x^{2} + 2 x - 10)

What is simplify-3x(2x^2)^3(-x^2)^4 ?
The solution to simplify-3x(2x^2)^3(-x^2)^4 is -24x^{15}