What is (-5a^3dc^4)(4adc^2) ?

The solution to (-5a^3dc^4)(4adc^2) is -20a^4d^2c^6

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simplify (-5a^3dc^4)(4adc^2)

simplify

(- 5 a^{3} d c^{4}) (4 a d c^{2})

- 20 a^{4} d^{2} c^{6}

Solution steps

(- 5 a^{3} d c^{4}) (4 a d c^{2})

Apply rule:

(- a) = - a

(- 5 a^{3} d c^{4}) = - 5 a^{3} d c^{4}

= - 5 a^{3} d c^{4} \cdot 4 a d c^{2}

Multiply the numbers:

- 5 \cdot 4 = - 20

= - 20 a^{3} d c^{4} a d c^{2}

Apply exponent rule:

aa = a^{2}

dd = d^{2}

= - 20 a^{3} d^{2} c^{4} a c^{2}

Simplify

a^{3} a : a^{4}

= - 20 a^{4} d^{2} c^{4} c^{2}

Simplify

c^{4} c^{2} : c^{6}

= - 20 a^{4} d^{2} c^{6}

(\frac{- 12}{2})^{2}

\frac{3}{2} \cdot \frac{4}{3}

\frac{a + 6}{a ^{2} + 12 a + 36}

(9 a^{4})^{\frac{1}{2}}

(w + 4)^{2}

What is (-5a^3dc^4)(4adc^2) ?
The solution to (-5a^3dc^4)(4adc^2) is -20a^4d^2c^6