What is (3sqrt(-16))(-9sqrt(-100)) ?

The solution to (3sqrt(-16))(-9sqrt(-100)) is 1080

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simplify (3sqrt(-16))(-9sqrt(-100))

simplify

(3 - 16) (- 9 - 100)

1080

Solution steps

(3 - 16) (- 9 - 100)

Apply rule:

a (- b) = - ab

(3 - 16) (- 9 - 100) = - 3 - 16 \cdot 9 - 100

= - 3 - 16 \cdot 9 - 100

- 100 = 2 - 25

= - 3 - 16 \cdot 9 \cdot 2 - 25

Multiply the numbers:

- 3 \cdot 9 \cdot 2 = - 54

= - 54 - 16 - 25

- 16 = 4 i

= - 54 \cdot 4 i - 25

- 25 = 5 i

= - 54 \cdot 4 i 5 i

Multiply the numbers:

- 54 \cdot 4 \cdot 5 = - 1080

= - 1080 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= - 1080 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 1080 (- 1)

Multiply the numbers:

- 1080 (- 1) = 1080

= 1080

\frac{\frac{x - 2}{2}}{\frac{x - 2}{5}}

\frac{x ^{2}}{4}

(- 43)^{2}

11. 5^{2}

3 - \frac{7}{2}

What is (3sqrt(-16))(-9sqrt(-100)) ?
The solution to (3sqrt(-16))(-9sqrt(-100)) is 1080