The expression \[\sqrt[4]{16x^2y^7}\] is equivalent to

Question

25-11-2016
Mathematics

contestada

The expression \[\sqrt[4]{16x^2y^7}\] is equivalent to

Respuesta :

Otras preguntas

which two geometric sequence in the following list have the same ratio? a. 4.3, 17.2, 68.8, 275.2 b.5, 15, 45, 135, 405 c -5, -15,- 45, -135,- 405 d. -4.8, -16.

Describe the importance of Magna Carta as it relates to democracy in America.

In "The Parable of the Good Samaritan," what does the priest do? a. He ignores the man who needs his help. b. He treats the Samaritan with warmth and kindness.

What are some syllable words that have three or more syllables in them

What conditions fostered the rise of absolute monarchs in Europe?

Mitigation strategies adopted by government in nepal earthquake

true or false the expression 5x - 3(2x-4) is equivalent to the expression 12-x

Which is the definition of adhesion?

how could the loss of biodiversity affect humans

what were the connections between the Holy Roman Empire and the church?

Аноним Аноним · Answer 1 · 2016-11-27T02:26:04+01:00

The solution to the problem is as follows:

4 sqrt(16x^2 y^7)

Protip: sqrt(abc) = sqrt(a)sqrt(b)sqrt(c). Therefore,

4sqrt(16x^2y^7) = 4sqrt(16)sqrt(x^2)sqrt(y^7)

We can deal with sqrt(16); it is equal to 4.

4(4) sqrt(x^2)sqrt(y^7)
16sqrt(x^2)sqrt(y^7)

Next, it is a known fact that sqrt(z^2) is the same as |z|, or the absolute value of z. That means
sqrt(x^2) = |x|

16|x| sqrt(y^7)

Split y^7 as y^6 * y

16|x| sqrt(y^6 * y)
16|x| sqrt(y^6) sqrt(y)
16|x| sqrt([y^3]^2) sqrt(y)
16|x| |y^3| sqrt(y)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!