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9966 [12]
3 years ago
9

Simplify. -sqrt m^4n^7

Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Answer:

-m^2 |n|^3 sqrt(n)

Step-by-step explanation:

-sqrt( m^4n^7)

We know that sqrt(ab) = sqrt(a) sqrt(b)

-sqrt(m^4) sqrt(n^7)

The sqrt(m^4) = m^2

The sqrt(n^7) = sqrt(n^6) sqrt(n) = |n|^3 sqrt(n)  We take the absolute value because if n is negative, n^6 is postive, but n^3 is negative

-sqrt(m^4) sqrt(n^7)

-m^2 |n|^3 sqrt(n)


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