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Popular >

simplify (2x^5)^3(-5x^2)^2

Solution

simplify

(2 x^{5})^{3} (- 5 x^{2})^{2}

Solution

200 x^{19}

Solution steps

(2 x^{5})^{3} (- 5 x^{2})^{2}

Simplify

(2 x^{5})^{3} : 8 x^{15}

= 8 x^{15} (- 5 x^{2})^{2}

Simplify

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

= 8 x^{15} \cdot 25 x^{4}

Multiply the numbers:

8 \cdot 25 = 200

= 200 x^{15} x^{4}

Apply exponent rule:

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

x^{15} x^{4} = x^{15 + 4}

= 200 x^{15 + 4}

Add the numbers:

15 + 4 = 19

= 200 x^{19}

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Frequently Asked Questions (FAQ)

What is (2x^5)^3(-5x^2)^2 ?
The solution to (2x^5)^3(-5x^2)^2 is 200x^{19}