What is 4the square root of 16x^4y^16z^12?

Answer 1

4th root of 16x^4y^16z^12
=(16x^4y^16z^12)^1/4
=16^1/4*(x^4)1/4(y^16)^1/4(z^12)^1/4
=(2^4)^1/4*x^4/4y^16/4z^12/4
=2^4/4xy^4z^3
=2xy^4z^3...is the fourth root
you don't say fourth square root,you simply say fourth root

Answer 2

2

Answer 3

4th square root of 16x^4y^16z^12
=(16x^4y^16z^12)^1/4
=(2^4x^4y^16z^12)^1/4
=2xy^4z^3

Whenever you see this type of question, just transform the square root to a fraction with the square root number as a denominator and 1 (always) as the nominator den power this fraction as the power of the original statement. For example, 2nd square root of something would be transformed to (something)^1/2. 3rd square root of something would be transformed to (something)^1/3.

Then take the fraction to multiply the power of the statement within the bracket. For example, (3^9)^1/3. Take the power of the number within the bracket, in this case is 9, multiply the fraction outside the bracket, in this case is 1/3. Leave the original number alone. So the answer would be (3^3) = 27.

Another example:
5th sq root of (2^10 * 6^15)-->5th sq root chnge to fraction
= (2^10 * 6^15)^1/5
= (2^2 * 6^3) -->multiply the power with the fraction den the fraction disappears. Leave the original numbers alone (in this case is 2 & 6).
= (4 * 216)
= 864

Answer 4

Huh? That doesn't even make sense?