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Popular >

simplify (2x^4)(3x^6)(-2x)

Solution

simplify

(2 x^{4}) (3 x^{6}) (- 2 x)

Solution

- 12 x^{11}

Solution steps

(2 x^{4}) (3 x^{6}) (- 2 x)

Apply rule:

a (- b) = - ab

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

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

Multiply the numbers:

- 2 \cdot 3 \cdot 2 = - 12

= - 12 x^{4} x^{6} x

Apply exponent rule:

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

x^{4} x^{6} x = x^{4 + 6 + 1}

= - 12 x^{4 + 6 + 1}

Add the numbers:

4 + 6 + 1 = 11

= - 12 x^{11}

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Frequently Asked Questions (FAQ)

What is (2x^4)(3x^6)(-2x) ?
The solution to (2x^4)(3x^6)(-2x) is -12x^{11}