Give the absolute value. |-16| |+9| |19| |-23| |+5| |-100|

1 answer:

3 0

Absolute value "washes" (That's how my teacher put it) away the negative. So the absolute value of -55 would be 55.

16
9
19
23
5
100

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Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

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(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

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