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Popular >

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

Solution

simplify

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

Solution

- 10 x^{5}

Solution steps

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

Apply rule:

a (- b) = - ab

(2 x^{3}) (- 5 x^{2}) = - 2 x^{3} \cdot 5 x^{2}

= - 2 x^{3} \cdot 5 x^{2}

Multiply the numbers:

- 2 \cdot 5 = - 10

= - 10 x^{3} x^{2}

Apply exponent rule:

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

x^{3} x^{2} = x^{3 + 2}

= - 10 x^{3 + 2}

Add the numbers:

3 + 2 = 5

= - 10 x^{5}

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Frequently Asked Questions (FAQ)

What is (2x^3)(-5x^2) ?
The solution to (2x^3)(-5x^2) is -10x^5