Good evening: How would you simplify the sqrt4(x^8y^6z^7) ? Thank you

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Good evening: How would you simplify the sqrt4(x^8*y^6*z^7) ? Thank you

Guest Feb 23, 2015

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Best Answer

I assume you have ⁴√[(x^8*y^6*z^7] = (x^8*y^6*z^7)^(1/4)

And using the rule (a^m)^n = a^(m *n) we have

x^2 * y^(6/4) * z^(7/4) = x^2 * y^(3/2) * z^(7/4) .....note.....we are assuming that y, z > 0

CPhill Feb 23, 2015

CPhill · Answer 1 · 2015-02-23T05:56:32

I assume you have ⁴√[(x^8*y^6*z^7] = (x^8*y^6*z^7)^(1/4)

And using the rule (a^m)^n = a^(m *n) we have

x^2 * y^(6/4) * z^(7/4) = x^2 * y^(3/2) * z^(7/4) .....note.....we are assuming that y, z > 0

Guest · Answer 2 · 2015-02-23T04:19:15

8x6yz6sqrt(z)

Good evening: How would you simplify the sqrt4(x^8*y^6*z^7) ? Thank you