What is (-2x^5)^5*(-5x^2)^2 ?

The solution to (-2x^5)^5*(-5x^2)^2 is -800x^{29}

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simplify (-2x^5)^5*(-5x^2)^2

simplify

(- 2 x^{5})^{5} \cdot (- 5 x^{2})^{2}

- 800 x^{29}

Solution steps

(- 2 x^{5})^{5} (- 5 x^{2})^{2}

Simplify

(- 2 x^{5})^{5} : - 32 x^{25}

= - 32 x^{25} (- 5 x^{2})^{2}

Simplify

(- 5 x^{2})^{2} : 25 x^{4}

= - 32 x^{25} \cdot 25 x^{4}

Multiply the numbers:

- 32 \cdot 25 = - 800

= - 800 x^{25} x^{4}

Apply exponent rule:

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

x^{25} x^{4} = x^{25 + 4}

= - 800 x^{25 + 4}

Add the numbers:

25 + 4 = 29

= - 800 x^{29}

x^{4} + 5 x^{3} - 5 x^{2} + 5 x - 6

16 x^{4} - 25 y^{6}

tan^{2} (a) - sin^{2} (a) tan^{2} (a)

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