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Popular >

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

Solution

simplify

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

Solution

- 54 x^{8}

Solution steps

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

Simplify

(- 3 x^{2})^{3} : - 27 x^{6}

= 2 x^{2} (- 27 x^{6})

Apply rule:

a (- b) = - ab

2 x^{2} (- 27 x^{6}) = - 2 x^{2} \cdot 27 x^{6}

= - 2 x^{2} \cdot 27 x^{6}

Multiply the numbers:

- 2 \cdot 27 = - 54

= - 54 x^{2} x^{6}

Apply exponent rule:

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

x^{2} x^{6} = x^{2 + 6}

= - 54 x^{2 + 6}

Add the numbers:

2 + 6 = 8

= - 54 x^{8}

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Frequently Asked Questions (FAQ)

What is 2x^2(-3x^2)^3 ?
The solution to 2x^2(-3x^2)^3 is -54x^8